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Mathematics

Courses

A student must receive a grade of C or better in order for a class to count as a prerequisite for another course. This applies to both individual and sequenced classes unless otherwise specified.

Pre-Foundational

MATH 006 Introductory Algebra (4): Review of arithmetic and a study of elementary algebra. This course will emphasize problem-solving using algebra. Does not apply toward any degree or certificate at La Sierra University. Prerequisite: Appropriate score on placement examination

MATH 007 Intermediate Algebra (4): Techniques for handling polynomial and rational expressions, solutions of equations, exponents and logarithms, the quadratic equation, graphs. The course reviews high school Algebra I and covers the standard topics of high school Algebra II. Does not apply toward any degree or certificate at La Sierra University. Prerequisite: MATH 006 or appropriate score on placement examination

Lower Division

MATH 115 Applications of Mathematics (4): This course examines how mathematics applies to real-world problems. Applications will be chosen from topics such as methods of voting and of apportionment, the mathematics of money, probability, paths and networks, number theory, games, truth tables and arguments, and tessellations and polyhedra. Does not apply toward any mathematics or computer science program. Prerequisite: MATH 007 or appropriate score on placement examination

MATH 121 College Algebra (4): Manipulation techniques for polynomial, rational, exponential, and radical expressions. Properties of the exponential and logarithmic functions. Solutions of systems of equations and inequalities. Complex numbers, theory of equations, curve sketching, sequences and series. Does not apply toward any mathematics or computer science program. Prerequisite: MATH 007 or appropriate score on placement examination

MATH 122 Trigonometry and Analytical Geometry (4): Standard trigonometric identities, sine and cosine rules, two- and three-dimensional applications, complex numbers, DeMoivre’s theorem, n-th roots of unity. Equations of straight lines and conics; identification of conics and their basic geometrical properties. Does not apply toward any mathematics or computer science program. Prerequisite: MATH 121 or appropriate score on placement examination

MATH 131 Calculus I (4): Functions, limits, continuity, definition of derivatives, techniques of differentiation, applications of derivatives, definite and indefinite integral, mean value theorem, fundamental theorem of calculus. Prerequisite: MATH 122 or appropriate score on placement examination

MATH 132 Calculus II (4): Calculus of transcendental functions, techniques of integration, applications of integration, indeterminate forms, improper integrals. Prerequisite: MATH 131

MATH 133 Calculus III (4): Taylor series; plane curves; polar, cylindrical, and spherical coordinates; solid analytic geometry; vector-valued functions; partial differentiation and applications; multiple integrals and applications. Prerequisite: MATH 132

MATH 155 Introductory Statistics (4): Basic concepts of probability, descriptive statistics, normal distributions, confidence intervals, hypothesis testing applied to means, proportions, chi-square, introduction to correlation and regression, and simple analysis of variance. Does not apply toward any mathematics program or to the Bachelor of Science degree in Computer Science. Not open to students who previously earned credit in BUAD 341 or ECON 341 or ECON 241. Prerequisite: MATH 007 or appropriate score on placement examination

MATH 201 Concepts of Mathematics I (4): Topics from the following: natural, integer, rational, and real number systems; computer literacy; set algebra; elementary logic; and mathematics history. Does not apply toward any mathematics or computer science program. Course is not regularly offered. Prerequisites: MATH 007 or appropriate score on placement examination, one year of high school geometry or equivalent & CPTG 104 or equivalent

MATH 202 Concepts of Mathematics II (4): Topics from set algebra, elementary logic, geometry, probability, statistics, and mathematics history. Does not apply toward any mathematics or computer science program. Prerequisite: MATH 121 or MATH 201

MATH 231 Introduction to Linear Algebra & Discrete Mathematics (4): Matrix algebra and determinants; systems of linear equations; introduction to relations, digraphs, and trees. Prerequisite: MATH 132

MATH 232 Differential Equations (4): Ordinary differential equations: operator methods, variation of parameters, series solutions, introduction to numerical methods. Fourier series. Prerequisite: MATH 133 & 231

MATH 233 Vector Calculus (4): Vector fields, vector calculus, divergence, and theorems of Green and Stokes. Prerequisite: MATH 133

MATH 251 Introduction to Statistics I (4): Basic concepts of probability, descriptive statistics, normal distribution; hypothesis testing applied to means, power, chi-square; introduction to correlation and regression; and simple analysis of variance. Does not apply toward any mathematics program or the Bachelor of Science in Computer Science. Not open to students who previously earned credit in BUAD 341 or ECON 341 or ECON 241. Course is not regularly offered. Prerequisite: MATH 121

MATH 261 Finite Mathematics for Business I (4): Review of arithmetic and elementary algebra including linear and quadratic equations. Topics chosen from arithmetic and geometric progressions and depreciations, interest and dated values, combinatorics and introduction to probability, and introduction to descriptive statistics. Does not apply toward any mathematics or computer science program. Prerequisite: Admittance to Access and appropriate score on placement examination

MATH 262 Finite Mathematics for Business II (4): A continuation of MATH 261. Does not apply toward any mathematics or computer science program. Prerequisites: Admittance to Access & MATH 261

MATH 276 Discrete Mathematics (4): Introduction to the foundations of discrete mathematics as they apply to computer science, focusing on providing a solid theoretical foundation for further work. Topics include functions, relations, sets, proof techniques, Boolean algebra, fundamentals of counting, elementary number theory, recurrence relations, graphs, trees, and discrete probability. Prerequisite: CPTG 121 or MATH 131

MATH 299 Directed Study (1-4): A lower division level study of topics or problems not covered in courses currently being taught. May be repeated for additional credit with consent of the department chair. Prerequisite: Consent of the department chair

Upper Division

MATH 324 Linear Algebra (4): Vector spaces, linear transformations, matrices and determinants, eigenvalues and eigenvectors, canonical forms. Offered alternate years. Prerequisite: MATH 231

MATH 345 College Geometry (4): Elementary and modern plane Euclidean geometry. Topics chosen from non-Euclidean geometry, foundations of geometry. Offered alternate years. Prerequisite: MATH 231 (can be concurrently enrolled)

MATH 361 Numerical Methods I (4): Numerical solutions to nonlinear equations; error analysis; interpolation and approximation; numerical differentiation and integration; numerical solutions to ordinary differential equations. Offered alternate years. Prerequisites: CPTG 121, MATH 231 & 232

MATH 362 Numerical Methods II (4): A continuation of MATH 361. Topics include systems of equations; eigenvalues; curve fitting and approximation theory; and additional topics chosen from numerical solutions to partial differential equations, Fourier series, and boundary value problems. Offered alternate years. Prerequisite: MATH 361

MATH 415 Sets and Number Systems (4): Introduction to informal axiomatic set theory; systematic development of the natural, integer, rational, and real number systems; topological properties of the real line. Offered alternate years. Prerequisites: MATH 133 & 231

MATH 421 Abstract Algebra I (4): An introduction to groups; quotient groups; rings; and fields. Offered alternate years. Prerequisite: MATH 324

MATH 422 Abstract Algebra II (4): A continuation of MATH 421. Further topics include unique factorization domains, field extensions, and unsolvability of certain geometrical constructions. Offered alternate years. Prerequisite: MATH 421

MATH 431 Analysis I (4): Topics include the topology of the real line, sequences, limits, continuity, and differentiation. Offered alternate years. Prerequisite: MATH 415

MATH 432 Analysis II (4): A continuation of MATH 431. Further topics include Riemann integration, sequences and series of functions, and uniform convergence. Additional topics chosen from metric spaces, topological spaces, and Lebesque integration. Offered alternate years. Prerequisite: MATH 431

MATH 451 Introduction to Mathematical Statistics I (4): Topics chosen from: probability, random variables, moment-generating functions, special distributions, large- and small-sample methods, theoretical frequency distributions, sampling theory, correlation and regression, testing goodness-of-fit, principles of estimation, hypothesis testing, and nonparametric methods. Offered alternate years. Prerequisites: MATH 133 & 231

MATH 461 Biomathematical Modeling I (4): Mathematical modeling of problems in the life sciences, including deterministic, probabilistic and chaotic models; computer simulations. Offered alternate years. Prerequisites: CPTG 121, MATH 232, BIOL 113 & 113L

MATH 462 Biomathematical Modeling II (4): A continuation of MATH 461. Further study of deterministic, probabilistic and chaotic models; and computer simulations. Offered alternate years. Prerequisite: MATH 461

MATH 485 Seminar (0.5-2): Informal seminars dealing with topics chosen from areas of pure or applied mathematics or computer science, and which are not usually covered in regular mathematics or computer science courses. Level of accessibility may vary by topic. May be repeated with new content for additional credit. Four units maximum may be counted toward any program in the Department of Mathematics and Computer Science. Cross-listed as CPTG 485. May not register for both CPTG 485 and MATH 485 during the same term. Prerequisite: MATH 131

MATH 486 Topics in Mathematics (2-4): Content determined by the interests of faculty and students, with specific areas listed in class schedule. May be repeated with new content for additional credit. Prerequisite: Consent of the instructor

MATH 499 Directed Study (1-4): Upper division study of topics or problems not covered in courses currently being taught. May be repeated for additional credit. Prerequisite: Consent of the department chair. Restriction: Limited to majors in the Department of Mathematics and Computer Science

 

 

Contact Us

Department of Mathematics & Computer Science

La Sierra University

4500 Riverwalk Parkway

Riverside, CA 92515-8247

math@lasierra.edu

951.785.2197 (voice)

951.785.2164 (fax)

 

Office Location:

Room 247 in Price Science Complex

 

Office Hours:

Monday - Thursday

8:00 a.m. - 5:00 p.m.

 

Friday

8:00 a.m. - Noon

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