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Curriculum - Course Descriptions

COURSES IN BIOLOGY (BIO)

BIO  104 Introduction to Biology                                                     4 Credit Hours
Non-majors are introduced to basic concepts in Biology.  Included are discussions of the scientific method, cellular organization, genetics, evolution, and diversity.  Biology majors may only take this course as an elective. Three lecture hours and two laboratory hours per week.
Prerequisite: None                                      Offered: Fall/Yearly

BIO  114 Environmental Biology                                                         4 Credit Hours
Non-majors are introduced to basic ecological principles and the effects of humans on the environment.  The course includes studies of populations, communities, ecosystems, energy flow, resources, pollution, waste management, and the effects of urbanization.  Three lecture hours and two laboratory hours per week.
Prerequisite: None                                   Offered: Spring/Yearly 
    
BIO  124 Organisms & Evolution                                                        4 Credit Hours This course is a survey course with discussions of organisms phylogenetically, including bacteria, protists, fungi, plants, and animals.  This course is a prerequisite for all upper division Biology courses.  Non-majors must have consent of the instructor.  Three lecture hours and three laboratory hours per week.  
Prerequisite: MTH 143 or Higher                                      Offered: Fall/Yearly

BIO  144 Botany 4 Credit Hours 
Included in this course are discussions of the major plant groups from the perspective of physiology, ecology, and evolutionary trends.  This course is a prerequisite for all upper division Biology courses.  Non-majors must have consent of the instructor.  Three lecture hours and three laboratory hours per week. 
Prerequisite:  MTH 143 or Higher                    Offered: Spring/Yearly

BIO 214 Human Physiology  4 Credit Hours
This course is an examination of the function and operation of the human body.  This course is for students in Kinesiology. Three lecture hours and three laboratory hours per week. 
Prerequisite: BIO 204                                 Offered: Spring/Yearly
 
BIO  224W Cellular & Molecular Biology                                       4 Credit Hours
Included in this course are discussions of cellular organization, cell respiration and photosynthesis, and cell reproduction.  This course is a prerequisite for all upper division Biology courses.  This course is a writing intensive course.  Non-majors must have consent of the instructor.  Three lecture hours and three laboratory hours per week.       
Prerequisites: Biology 124 or 144 , Co-requisite: CHE 114  Offered: Fall/Yearly
                                                                   
BIO  234 Ecology & Behavior                                                           4 Credit Hours
A study of the relationships between organisms and their external environment is made. Included are studies of physiological ecology, population dynamics, community structure, energy flow through ecosystems, and evolution. Three lecture hours and three laboratory hours per week. 
Prerequisites: Biology 124 or 144                                                            Offered: Spring/Yearly

BIO  240W/241 Second Year Science Seminar 0.5/0.5 Credit Hours
Seminars are presented by faculty, guest lecturers and students.  Topics will address recent findings in the sciences or may be relative to professional and career development of the science major. The course meets for a minimum of 1 hour weekly.  Attendance, speaker evaluations and a presentation or paper is required for satisfactory completion of these science seminar courses
Prerequisites: Biology major and 24 college credits.                    Offered: Fall/Spring/Yearly

BIO  244 Human Anatomy         4 Credit Hours
This course is an examination of the structure and organization of the human body.  The laboratory includes dissection of a similar organism, the cat.  This course is for both biology, health science, teacher certification and kinesiology majors.  Three lecture hours and three laboratory hours per week. 
Prerequisite: None                                                                                    Offered: Fall/Yearly

BIO  302 Field Biology                                                                               2 Credit Hours
A study of ecological methods in terrestrial and aquatic systems is made, with an emphasis on quantitative and experimental procedures.  This course may include at least 15 hours of service learning. Four laboratory hours per week.                                                    
Prerequisites: BIO 124, 144, and 224                                                          Offered: Fall/Yearly

BIO  304 General Microbiology                                                           4 Credit Hours
This course is a survey of bacteria and viruses with emphasis on medical, industrial, and immunological considerations. Three lecture hours and three laboratory hours per week. 
Prerequisites: BIO 224 and 234                                                         Offered: Spring As Needed

BIO  334 Vertebrate Physiology                                             4 Credit Hours
This course is a study of the control of the internal environment with examples drawn from various vertebrates. This is a required course for Biology majors.  Three lecture hours and three laboratory hours per week. 
Prerequisites: BIO 224 and CHE 124                                                      Offered: Spring/Yearly

BIO  340/341W Third Year Science Seminar Fall/Spring          0.5/ 0.5 Credit Hours
Seminars are presented by faculty, guest lecturers and students.  Topics will address recent findings in the sciences or may be relative to professional and career development of the science major. The course meets for a minimum of 1 hour weekly.  Attendance, speaker evaluations and a presentation or paper is required for satisfactory completion of these science seminar courses.
Prerequisites: Biology Major and 48 College Credits                      Offered: Fall/Spring Yearly

BIO 344 Genetics      4 Credit Hours
An introduction to the principles of heredity at the molecular and cellular level is covered in this course.  This is a required course for Biology majors. Three lecture hours and three hours of laboratory each week.
Prerequisites: BIO 224, 234, CHE 124                                                         Offered: Fall Yearly

BIO  353 Science Knowledge and Skills in Elementary Schools       3 Credit Hours  
This course focuses on the concepts and skills needed to teach science in the elementary school.  Topics to be addressed will be the knowledge and skills from the Texas Essential Knowledge and Skills (TEKS) – the curriculum of Texas public schools.  Students will have the opportunity to observe and practice the pedagogy that they experience.  A minimum of 20 hours of field experience will be required of all students. 
Prerequisites: BIO 124, 144, 224, PHY 114                                      Offered: Spring As Needed 

BIO  401W/411W   Biology Senior Seminar Fall/Spring         1/ 1 Credit Hour 
Senior seminar courses are to be taken by all Biology majors.  The student attends one discussion hour per week and at least one science seminar participation hour per week.  Oral discussion, a written report, and presentation on selected topics developed from information gathered from professional journals and reference books  is required.  In some cases laboratory investigations with written reports may be substituted.  Specific requirements for the satisfactory completion of this course are outlined in the course syllabi for each semester.
Prerequisite: Senior Standing                                                 Offered: Fall/Spring Yearly 

BIO  432  Laboratory Management                                                         2 Credit Hours
This course covers the preparation and management of laboratories for BIO 104, 114, 124, 144, or 224.  One hour meeting with instructor and four laboratory (preparation) hours per week. Consent of instructor required.
Prerequisites: BIO 224 and 234                                                Offered: Fall/Spring Yearly

BIO  473  Special Topics in Biology              3 Credit Hours  
This course will cover selected topics in biology of special interest to students and instructors. They may be a more in-depth treatment of survey courses or cover a specialty in biology. Course may include the background and current findings regarding a specific phyla, a life system, reproduction, botany, ecology molecular genetics, marine or freshwater biology, integrative or developmental biology, or neurobiology.
Prerequisite: Instructor Approval                                                      Offered: As Needed

BIO  483  Biological Internship                                                           3 Credit Hours
An internship experience for majors in Biology.  Students work as interns in one of the areas of concentration.  Students may not enroll in this course without prior department approval.
Prerequisites: 12 Biology major credits & advisor approval    Offered: Fall/Spring Yearly

BIO  490-4  Biological Research/ Project                    0, 1, 2, 3, or 4 Credit Hours 
The student plans and implements an independent biological study using facilities available at Huston-Tillotson University or other sites if recommended by the Biology faculty. If this course is taken to satisfy the major internship or research requirement, it must be taken for at least 3 credit hours.  Course may be repeated for a maximum of 10 credits. 
Prerequisite: Instructor Approval                                            Offered: Fall/Spring Yearly

COURSES IN CHEMISTRY (CHE)

CHE 114  General Chemistry I                                                  4 Credit Hours
General Chemistry covers the fundamental laws and theories of chemical processes  involving the common elements and their compounds.  Topics include atomic structure, periodic classifications, physical states, chemical formulas and equations, stoichiometry, chemical reactions, bonding theories, molecular structure and reactions   in aqueous solutions.  A working knowledge of these topics is obtained through a series of lectures, laboratory exercises, computer exercises and molecular models.  Basic mathematics and elementary algebra are sufficient to understand the concepts presented; additional mathematical concepts are taught if needed.  The course prepares one for a better awareness of the chemical nature of the world and understanding of everyday problems. Three lecture hours and one two-hour laboratory per week.
Pre/Co-requisite: MTH 143 or higher         Offered: Fall/Yearly

CHE 124 General Chemistry II    4 Credit Hours
Continuation of CHE 114. This course requires a working knowledge of the topics covered in CHE 114. Greater success is achieved when these courses are taken in successive semesters.  Fundamental laws and theories of chemical processes involving the common elements and their compounds is continued and includes the following topics: reaction rates and mechanisms, colloids, organic carbon compounds and oxidation-reduction.  A working knowledge of these topics is obtained through a series of lectures, laboratory exercises, computer exercises and molecular models.  Basic mathematics and elementary algebra are sufficient to understand the concepts presented; additional mathematical concepts are taught if needed.  The course prepares one for a better awareness of the chemical nature of the world and understanding of everyday problems. Three lecture hours and one two-hour laboratory per week.
Prerequisite: CHE 114           Offered: Spring/Yearly 

CHE 240W/241 Second-Year Science Seminar  0.5/0.5 Credit Hours
Seminars are presented by faculty, guest lecturers and students.  Topics will address recent findings in the sciences or may be relative to professional and career development of the science major. The course meets for a minimum of 1 hour weekly.  Attendance, speaker evaluations and a presentation or paper is required for satisfactory completion of these science seminar courses.
Prerequisites: Chemistry Major and 24 College Credits  Offered:  Fall/Spring Yearly
 
CHE 314 Organic Chemistry I    4 Credit Hours
Organic chemistry I is the study of aliphatic hydrocarbons and their derivatives. This course emphasizes the functionality of different classes of organic compounds, isomerism, nomenclature, reaction mechanisms, and methods of preparation. Three lecture hours and one three-hour laboratory period each week.
Prerequisite: CHE 124 Offered: Fall/Yearly

CHE 324W Organic Chemistry II                                                    4 Credit Hours 
Continuation of CHE 314 and builds on the fundamentals covered in that course. Organic chemistry II covers the study of aromatic, organometallic, and heterocylic compounds, as well as spectroscopy.  Reactions of the major functional groups and introductory biochemical structures and reactions are covered. Three lecture hours and one three-hour laboratory period each week.
Prerequisite: CHE 314 Offered: Spring/Yearly

CHE 334  Quantitative Analysis  4 Credit Hours
Introduction to methods of chemical analysis.  Laboratory work consists of selected experiments on volumetric analysis.  Emphasis is placed on physicochemical principles and stoichiometric relations involved in each determination.  Two lecture hours and one four-hour laboratory period each week. 
Prerequisite: CHE 124              Offered: /Yearly

CHE 340/341W Third Year Science Seminar Fall/Spring     0.5/ 0.5 Credit Hours
Seminars are presented by faculty, guest lecturers and students.  Topics will address recent findings in the sciences or may be relative to professional and career development of the science major. The course meets for a minimum of 1 hour weekly. Attendance, speaker evaluations and a presentation or paper is required for satisfactory completion of these science seminar courses.
Prerequisites: Chemistry Major and 48 College Credits      Offered: Fall/ Spring Yearly

CHE 344  Advanced Quantitative Analysis                              4 Credit Hours 
This continuation of CHE 334 consists of an introduction to theory and practice of optical and electrical methods of analysis.  Laboratory work is primarily gravimetric analysis and basic optical and electrochemical analysis.  Two lecture hours and one four-hour laboratory period each week. 
Prerequisite: CHE 334   Offered: Spring As Needed

CHE 354  Biochemistry  4 Credit Hours
A survey of the major constituents of living matter.  Biophysical and biochemical processes in plants and animals are studied.  Laboratory work includes isolation, identification, and application of quantitative analytical procedures to characteristic materials.  Three lecture hours and one three-hour laboratory period each week. 
Prerequisites: BIO 104 or 124 & CHE 324  Offered: As Needed

CHE 364 Instrumental Analysis 4 Credit Hours
Introduction to the critical use of advanced electrical and optical measurements in chemical analysis.  Two lecture hours and one four-hour laboratory period each week. 
Prerequisite: CHE 334  Offered: Spring As Needed

CHE 401W/411W  Chemistry Senior Seminar Fall/Spring 1/1 Credit Hour 
These seminar courses are to be taken by all Chemistry majors.  The student attends one discussion hour per week and at least one science seminar participation hour per week. Oral discussion, a written report, and presentation on selected topics developed from information gathered from professional journals and reference books.  In some cases laboratory investigations with written reports may be substituted.  Specific requirements for the satisfactory completion of this course are outlined in the course syllabi for each semester.
Prerequisite: Senior Standing  Offered: Fall/Spring Yearly

CHE 414  Physical Chemistry I  4 Credit Hours 
A presentation of the basic principles of physical chemistry with particular emphasis on thermodynamics and its application to gases, liquids, solids, and solutions.  Three lecture hours and three laboratory hours each week.
Prerequisites: PHY 224, MTH 234, & CHE 324  Offered: Fall As Needed

CHE 424 Physical Chemistry II  4 Credit Hours
A continuation of CHE 414: An elementary presentation of the kinetic-molecular theory, chemical kinetics, electrochemistry, surface chemistry, transport processes, and quantum mechanics are covered. Three lecture hours and three laboratory hours each week. 
Prerequisite: CHE 414 Offered: Spring As Needed

CHE 453  Advanced Organic Chemistry                                   3 Credit Hours
A study of carbon compounds.  Emphasis on modern atomic structure, molecular spectra, electrophilic and nucleophilic substitutions, elimination reactions, and free-radical reactions. 
Prerequisite: CHE 324                                       Offered: As Needed

CHE 463 Advanced Inorganic Chemistry                                   3 Credit Hours
A study of non-carbon compounds.  Emphasis on the theories and principles of atomic structure, periodic classification, chemical bonding, complex ions and coordination compounds, oxidation-reduction, acids and bases, and non-aqueous solvents.
Prerequisite: CHE 324 or 334 Offered: As Needed

CHE 473  Special Topics in Chemistry 3 Credit Hours
This course will cover selected topics in chemistry of special interest to students or instructors. They may be a more in-depth treatment of survey courses or cover a specialty in chemistry. Possible topics include Chemometrics, Spectroscopy, Electronic Materials, Environmental, Forensic, and Polymers.
Prerequisite: Instructor Approval  Offered: As Needed

CHE 483  Chemistry Internship                                     3 Credit Hours
This course is an internship experience for majors in Chemistry.  Students work as interns in a chemistry-related industry.  Students may not enroll in this course without prior advisor approval.
Prerequisite: 12 Credits in Chemistry & Advisor Approval     Offered: Fall/Spring Yearly

CHE 490-4 Chemical Research/Project 0, 1, 2, 3, or 4 Credit Hours
The student conducts independent investigation employing basic research techniques including instrumental methods such as infrared spectroscopy, gas chromatography, and visible and ultraviolet spectrophotometry, etc.  The use of vacuum systems, inert solvent systems, and inert atmosphere systems may also be included.  Library research is stressed as an integral part of the work. Variable hours per week.
Prerequisite: Instructor Approval  Offered: Fall/Spring Yearly

COURSES IN PHYSICS (PHY)
The following physics courses are offered to fulfill requirements for the science core curriculum and for a Bachelor of Science degree in biology, chemistry, computer science, or mathematics.

PHY 114 Physical Science 4 Credit Hours
This course consists of lectures, demonstrations, and laboratory exercises on topics relating to a study of the physical universe. Included is a survey of physics, astronomy, and chemistry in an integrated lecture-laboratory sequence. This course develops a series of fundamental concepts in physics and chemistry through problem-solving situations.  The study includes empirical law and theories of matter, energy, loading, and structure. Three hours of lecture and two hours of laboratory per week. 
Pre- or Co-requisite: MTH 143                               Offered:  Fall/Spring Yearly

PHY 214   General Physics I  4 Credit Hours 
This course is primarily for science and engineering students. Vector notation and a mathematical approach are used in the development of conventional topics: mechanics, vibratory motion, wave motion and fluids. Topics from thermodynamics and relativity will be included if time permits. Three lecture hours, and one three-hour laboratory per week. 
Pre- or Co-requisite:  MTH 224   Offered: Fall/Yearly

PHY 224 General Physics II                                                               4 Credit Hours
This course is a continuation of Physics 214 primarily for science and pre-engineering students. Thermodynamics, electricity and magnetism are covered. Topics from modern physics will be included if time permits. Three lecture hours, and one three-hour laboratory per week. Prerequisites: PHY214 and Co-requisite: MTH 234                      Offered: Spring/Yearly

COURSES IN MATHEMATICS (MTH)
MTH 133 Introduction to Algebra  3 Credit Hours
A study of fundamental concepts and methods of basic college mathematics is covered.  The course presents the important ideas of mathematical science so that the student understands the connection between mathematics and the physical and social sciences and becomes skilled enough in mathematical concepts to use and appreciate them.  Some concepts in college algebra are introduced. Students must pass this course with a grade of “C” or better to register for MTH143.
 Prerequisites: None Offered: Fall/Spring Yearly

MTH 143 College Algebra 3 Credit Hours
A study of the fundamental concepts of algebra, including linear, nonlinear, exponential, logarithmic, rational functions, systems of equations, sequences, and series.
Prerequisites: Entrance Exam Placement Offered: Fall/Spring Yearly

MTH 153 Mathematics for THEA  3 Credit Hours
A study of mathematics concepts required for use on the Texas Higher Education Assessment Program examination.  MTH 153 contains concepts of fundamental mathematics, data interpretation, algebra, geometry, and problem-solving.  This course helps to prepare students for the required THEA examination.  This course may not be substituted for MTH 133 or MTH 143.
Prerequisites: None Offered: As Needed

MTH 163 Algebra and Trigonometry for Science Majors 3 Credit Hours
This course includes the study of exponents and radicals, graphs of equations, linear and quadratic equations, factoring, trigonometry functions and graphs, application of right and oblique triangles, fundamental identities, composite angle formulas, and inverse trigonometry functions.  This course satisfies the General Studies requirement. 
Prerequisites: Entrance Exam Placement or MTH 143 Offered: Fall/Yearly

MTH 173 Pre-Calculus 3 Credit Hours
This course includes the study of coordinate geometry and models, functions and graphs, polynomial and rational functions, exponential and logarithmic functions, analytical geometry, and discrete mathematics.  This course satisfies the General Studies requirement.
Prerequisites: Entrance Exam Placement or MTH 163 Offered: Spring/Yearly

MTH 203 Discrete Mathematics 3 Credit Hours 
A required course for computer science majors.  Covers selected mathematical concepts that facilitate a deeper understanding of computer science and programming.  Introduces number systems and computer arithmetic. Topics and concepts include sets, group codes, logic and truth table, Boolean algebra and its application to computer logic design, relations, and functions.  Other topics covered include elementary matrix operations, permutations, combinations, and counting techniques.
Prerequisites: MTH 143 Offered: Spring/Yearly

MTH 224 Calculus I  4 Credit Hours
The standard first course in calculus.  Topics include functions and their graphs, composition of functions, limits of functions, proofs, continuous functions, derivatives of algebraic functions, Newton’s method, Rolle’s Theorem, mean value theorem, local and extreme values of functions, application problems, related rates, concavity, higher order derivatives, and implicit differentiation. 
Prerequisite:  MTH 143, 163, 173 or Entrance Exam Placement Offered: Fall/Yearly
MTH 233 Introductory Statistics 3 Credit Hours
A first course in statistics that requires knowledge of the fundamental procedures for data organization and analysis.  Topics include frequency distributions, graphing, measures of central tendency, dispersion, positions, binomial distribution, normal curves, probability calculation, t-test, chi-square, F-test, hypothesis testing, and statistical estimation.
Prerequisites: MTH 143 Offered: Fall/Yearly

MTH 234 Calculus II 4 Credit Hours
A second standard course in calculus.  Topics include definite and indefinite integrals, using integrals to compute areas, volumes, growth, and decay, differentiation and integration of algebraic and transcendental functions, trigonometric substitutions, partial fractions, tables of integrals, and application.
Prerequisite:  MTH 224        Offered: Spring/Yearly

MTH 240W/241 Second Year Science Seminar Fall/Spring  0.5/0.5 Credit Hours
Seminars are presented by faculty, guest lecturers and students.  Topics will address recent findings in the sciences or may be relative to professional and career development of the science major. The course meets for a minimum of 1 hour weekly.  Attendance, speaker evaluations and a presentation or paper is required for satisfactory completion of these science seminar courses.
Prerequisites: Mathematics major and 24 college credits    Offered: Fall/Spring Yearly

MTH 303 Fundamental Concepts of Math for Elementary Education I  3 Credit Hours  
A mathematics course which covers the Texas Essential Knowledge and Skills (TEKS) objectives and the TExES objectives for grades EC-4.  Emphasis will be placed on standards of the National Council of Teachers of Mathematics (NCTM).  Topics include numeration systems, number systems, non-decimal number bases, algorithms, measurement, whole number algorithms, number theory, fractions, decimals and percents.  These topics will be computer solutions to many problems using student designed programs and given programs; real vector spaces, subspaces, bases, dimensions of vector spaces, and spanning sets; eigenvalues, eigenvectors, and linear transformations. 
Prerequisite:  MTH 143 Offered: Fall As Needed

MTH 313 Fundamental Concepts of Mathematics  3 Credit Hours
                   for Elementary Education II
A mathematics course which covers TEKS objectives and the TExES objectives for grades K-4. Emphasis will be placed on standards of the NCTM. Topics include rational numbers, real numbers, functions, graphs, statistics, probability, geometric shapes, measurement, geometry using congruence and similarity, coordinate geometry, and geometry using transformations. Technology (multi-media carts) will be used throughout the course including computers and graphing calculators.
Prerequisite: Field Experience and MTH 303 Offered: Spring As Needed

MTH 324 Calculus III 4 Credit Hours
A standard third course in calculus. Topics include infinite series, vector and analytical geometry, limits and continuity in three-space, gradients, tangent planes, partial and directional derivatives, polar coordinates, application of multiple integrals to area, volume, centroids, partial differentiation, and applications.
Prerequisite: MTH 234 Offered: Fall/Yearly

MTH 333 Probability  3 Credit Hours
A second course in statistics for students majoring in mathematics and sciences. The following topics are covered in this course: Discrete and continuous Probability functions, binomial, Poisson, normal, geometric, and gamma distribution, random variables, joint density, conditional densities,
expected values, estimations, hypothesis testing, goodness-of-fit tests, and regression. Prerequisite:  MTH 233 and MTH 234  Offered: Spring As Needed

MTH 340W/341 Third Year Science Seminar Fall/Spring 0.5/0.5 Credit Hours
Seminars are presented by faculty, guest lecturers and students.  Topics will address recent findings in the sciences or may be relative to professional and career development of the science major. The course meets for a minimum of 1 hour weekly.  Attendance, speaker evaluations and a presentation or paper is required for satisfactory completion of these science seminar courses.
Prerequisites: Mathematics Major and 48 College Credits  Offered: Fall/Spring Yearly

MTH 353 Linear Algebra 3 Credit Hours
This course covers matrices and their operations, special matrices including identities, symmetric and skew symmetric, idempotents, row operations on matrices in solving systems of equations, computer solutions to many problems using student designed and given programs, real vector spaces, subspaces, bases, dimensions of vector spaces, spanning sets, eigenvalues, eigenvectors, and linear transformations.
Prerequisite:  MTH 143       Offered:  Fall As Needed

MTH 363 Fundamental Concepts of Math for Secondary Schools 3 Credit Hours
A survey of topics in secondary school mathematics including geometry, linear programming, history of mathematics, graphing calculator, and computer applications in mathematics.
Prerequisites: MTH 143 Offered:  As Needed

MTH 401W/411W Mathematics Senior Seminar Fall/Spring              1/1 Credit Hour
Senior seminar courses are taken by all Mathematics majors.  The student attends one discussion hour per week and at least one science seminar participation hour per week. Oral discussion, a written report and presentation on selected topics developed from information gathered from professional journals and reference books.  In some cases laboratory investigations with written reports may be substituted.  Specific requirements for the satisfactory completion of this course are outlined in the course syllabi for each semester.
Prerequisites: Senior Standing Offered: Fall/Spring Yearly 

MTH 403 Modern Algebra 3 Credit Hours
This course in abstract algebra utilizes the postulational approach.  Topics considered include binary operations, mappings, number theory, rings, subrings, groups, subgroups, and fields.
Prerequisites: MTH 143 Offered: Fall As Needed

MTH 413 Real Analysis  3 Credit Hours
Topics covered in this course include: real numbers, upper and bounds, intervals, mathematical induction, sequences and series, convergence, limits, continuity, derivatives, and integrals.
Prerequisites: MTH 234 Offered: Fall As Needed

MTH 423 Complex Analysis 3 Credit Hours 
A first course in complex analysis covering complex numbers, analytic functions, contour integration, power series, analytic continuation, sequences of analytic functions, conformal mapping of simply connected regions, and related topics.
Prerequisite: MTH 324 Offered: Spring As Needed


MTH 433 Differential Equations  3 Credit Hours 
This course covers solutions of linear and nonlinear ordinary differential equations, and utilization of Laplace transform to solve ordinary differential equations. 
Prerequisite:  MTH 234 Offered: Spring As Needed

MTH 443 Numerical Analysis 3 Credit Hours 
This course covers polynomial forms and interpolation, divided differences,  polynomial, uniform, least-squares and splines approximation; orthogonal polynomials; numerical differentiation; integration; splines; B-splines;  and numerical methods for solving initial and boundary value problems for ordinary differential equations.
Prerequisite:  MTH 324, 353  Offered: Spring As Needed

MTH 453 Numerical Techniques for CSC Majors  3 Credit Hours
This course emphasizes the use of computers in solving problems in applied mathematics.  Topics include number presentation; errors in computer arithmetic, portability issues, error classification, well conditioned and ill-conditioned problems and iterative approximation to mathematical problems.
Prerequisite: MTH 234 and 6 Language Credits   Offered: Spring/Yearly

MTH 463 Advanced Calculus  3 Credit Hours
Topics covered in this course include Vector-valued functions and their analysis, the geometry of Euclidean n-space, partial derivatives, functions of several variables, Taylor’s theorem, infinite sequences and series, line and surface integral, LaGrange multipliers, multiple integrals, Green’s and Stoke’s theorems. 
Prerequisite:  MTH 324  Offered: As Needed

MTH 473 Special Topics in Mathematics  3 Credit Hours
This course will cover selected topics in mathematics of special interest to students or instructors.  They may be a more in-depth treatment of survey courses or cover a specialty in mathematics. Possible topics include: Actuarial Science, Laplace Transforms, complex variables, calculus of variation, integral equations, and advanced differential equations.
Prerequisites: Instructor Approval  Offered: Spring As Needed

MTH 483 Mathematics Internship   3 Credit Hours
This course is an internship experience for majors in Mathematics.  Students work as interns in a mathematics-related industry.
Prerequisites: 12 Math Major Credits and Advisor Approval Offered: Fall/Spring Yearly
   
MTH 490-4 Mathematics Research/Project                0, 1, 2, 3, or 4 Credit Hours
The student plans and implements an independent mathematical study under the direction of faculty, using facilities available at Huston-Tillotson University or other sites if recommended by the mathematics faculty. Or the student may work with a mathematics faculty member in a specific research area. Course may be repeated for a maximum of 10 credits.
Prerequisite: Instructor Approval                              Offered: Fall/Spring Yearly

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