Mathematics Course Descriptions

Mathematics

Course Descriptions
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SLAM Pathways

- MATH 100 - Survey of College Mathematics
  3 Units (Degree Applicable, CSU, UC)
  Lecture: 54 hours
  Prerequisite: MATH 71 or MATH 71X or MATH 71B or appropriate placement
  
  Mathematical methods and reasoning. Topics include: set theory, logic, counting methods, probability and statistics, with additional topics selected from numeration and mathematical systems, number theory, geometry, graph theory and mathematical modeling.
- MATH 105 - Mathematical Concepts for Elementary School Teachers
  4 Units (Degree Applicable, CSU)
  Lecture: 72 hours
  Prerequisite: MATH 71 or appropriate placement
  
  Focuses on the development of quantitative reasoning skills. Exploration of topics in mathematics, including real number systems and subsystems. Comprehension and analysis of mathematical concepts and applications of logical reasoning are emphasized. Designed for pre-service elementary school teachers.
- MATH 110 - Elementary Statistics
  3 Units (Degree Applicable, CSU, UC)
  Lecture: 54 hours
  Prerequisite: MATH 71 or MATH 71X or MATH 71B or appropriate placement
  
  Descriptive and inferential statistics and probability with emphasis on understanding statistical methods. Descriptive analysis of sample statistics, distribution of discrete and continuous random variables, estimation theory, tests of hypotheses, regression, correlation, and analysis of variance.
  - Course Outlines (Topics to be Covered):
    - Triola (primary text). This text is to be used by all adjunct faculty members.
    - Navidi, Guth. These texts are to be used with special permission from the department.
  - Student Learning Outcomes (SLOs) and Course Measurable Objectives (CMOs)
  - Detailed Course Information
- MATH 110H - Elementary Statistics - Honors
  3 Units (Degree Applicable, CSU, UC)
  Lecture: 54 hours
  Prerequisite: (MATH 71 or MATH 71X or MATH 71B or appropriate placement) AND acceptance into the Honors Program.
  
  Descriptive and inferential statistics and probability with an emphasis on understanding statistical methods. Descriptive analysis of sample statistics, distribution of discrete and continuous random variables, estimation theory, tests of hypotheses, regression, correlation, and analysis of variance. An honors course designed to provide an enriched experience. May not receive credit for MATH 110 and MATH 110H.
  - Course Outline (Topics to be Covered)
  - Student Learning Outcomes (SLOs) and Course Measurable Objectives (CMOs)
- MATH 120 - Finite Mathematics
  3 Units (Degree Applicable, CSU, UC)
  Lecture: 54 hours
  Prerequisite: MATH 71 or MATH 71X or MATH 71B or appropriate placement
  
  Linear programming, matrix theory, probability, statistics, stochastic processes, Markov chains, and math of finance. Applications for business, economics, and social sciences.
- MATH 130 - College Algebra
  4 Units (Degree Applicable, CSU, UC)
  Lecture: 72 hours
  Prerequisite: MATH 71 or MATH 71B or appropriate placement
  
  (Effective through Summer 2024) College-level Algebra course. Study of real numbers and sets, algebraic functions and relations, radicals and exponents, linear and quadratic equalities and inequalities, exponential and logarithmic functions, systems of linear and quadratic equations, complex numbers, series, theory of equations, mathematical induction and binomial formula.
  
  (Effective Beginning Fall 2024) College-level Algebra course for non-STEM majors. This course covers polynomial, rational, and radical expressions; factoring of polynomials, complex numbers; exponents; linear, quadratic, rational, exponential and logarithmic functions: graphing, expressions, equations and their applications; linear and nonlinear inequalities; theory of polynomial equations; systems of linear and quadratic equations.

BSTEM Pathway

- MATH 110 - Elementary Statistics
  3 Units (Degree Applicable, CSU, UC)
  Lecture: 54 hours
  Prerequisite: MATH 71 or MATH 71X or MATH 71B or appropriate placement
  
  Descriptive and inferential statistics and probability with emphasis on understanding statistical methods. Descriptive analysis of sample statistics, distribution of discrete and continuous random variables, estimation theory, tests of hypotheses, regression, correlation, and analysis of variance.
  - Course Outlines (Topics to be Covered):
    - Triola (primary text). This text is to be used by all adjunct faculty members.
    - Navidi, Guth. These texts are to be used with special permission from the department.
  - Student Learning Outcomes (SLOs) and Course Measurable Objectives (CMOs)
  - Detailed Course Information
- MATH 110H - Elementary Statistics - Honors
  3 Units (Degree Applicable, CSU, UC)
  Lecture: 54 hours
  Prerequisite: (MATH 71 or MATH 71X or MATH 71B or appropriate placement) AND acceptance into the Honors Program.
  
  Descriptive and inferential statistics and probability with an emphasis on understanding statistical methods. Descriptive analysis of sample statistics, distribution of discrete and continuous random variables, estimation theory, tests of hypotheses, regression, correlation, and analysis of variance. An honors course designed to provide an enriched experience. May not receive credit for MATH 110 and MATH 110H.
  - Course Outline (Topics to be Covered)
  - Student Learning Outcomes (SLOs) and Course Measurable Objectives (CMOs)
- MATH 140 - Calculus for Business
  4 Units (Degree Applicable, CSU, UC)
  Lecture: 72 hours
  Prerequisite: MATH 130 or MATH 160 or appropriate placement
  
  Calculus for business, social science, and non-science majors. Algebraic, logarithmic, and exponential functions; limits; differentiation with applications; various techniques of integration with applications; differential equations; multi variable calculus.
- MATH 150 - Trigonometry
  3 Units (Degree Applicable, CSU)
  Lecture: 54 hours
  Prerequisite: MATH 71 or MATH 71B or appropriate placement
  
  Trigonometric functions and inverse trigonometric functions and the graphical representations of these functions; solutions to right and oblique triangles with laws of sines and cosines; vectors; solutions to trigonometric equations; identities; polar coordinates; complex numbers and DeMoivre's Theorem.
- MATH 160 - Precalculus Mathematics
  4 Units (Degree Applicable, CSU, UC)
  Lecture: 72 hours
  Prerequisite: MATH 150 or appropriate placement
  
  Prepares students for the calculus sequence. Real-valued functions, including algebraic, trigonometric, exponential, and logarithmic functions. Also includes proofs, inequalities, introductory analytical geometry, series, sequences, and vectors.
  - Course Outlines (Topics to be Covered):
  - Student Learning Outcomes (SLOs) and Course Measurable Objectives (CMOs)
  - Detailed Course Information
- MATH 180 - Calculus and Analytic Geometry
  4 Units (Degree Applicable, CSU, UC)
  Lecture: 72 hours
  Prerequisite: MATH 160 or appropriate placement
  
  Differential and integral calculus with applications. Functions, limits, the derivative, curve sketching, optimization, and rules for differentiation of algebraic, exponential, logarithmic, and trigonometric functions with their inverses, with applications. Indefinite and definite integrals.
- MATH 181 - Calculus and Analytic Geometry
  4 Units (Degree Applicable, CSU, UC)
  Lecture: 72 hours
  Prerequisite: MATH 180
  
  Differential and integral calculus with infinite series and applications. Includes applications of integration, techniques of integration, numerical integration, indeterminate forms and improper integrals, differential equations, and polar coordinates.
  - Course Outline (Topics to be Covered)
  - Student Learning Outcomes (SLOs) and Course Measurable Objectives (CMOs)
- MATH 260 - Linear Algebra
  3 Units (Degree Applicable, CSU, UC)
  Lecture: 54 hours
  Prerequisite: MATH 181
  
  Matrices, linear systems, determinants, vector and inner product spaces, linear transforms, eigenvalues, and eigenvectors.
  - Course Outline (Topics to be Covered)
  - Student Learning Outcomes (SLOs) and Course Measurable Objectives (CMOs)
- MATH 280 - Calculus and Analytic Geometry
  5 Units (Degree Applicable, CSU, UC)
  Lecture: 90 hours
  Prerequisite: MATH 181
  
  Multivariate and vector calculus, which includes vectors in two and three space and surfaces in space. Analysis of vector-valued functions. Partial derivatives, differentials, the chain rule, directional derivatives, and the gradient. Extrema of functions of several variables with applications. Multiple integrals in various coordinate systems with applications. Vector fields, line integrals, and independence of path. Green's Theorem, surface integrals, flux, divergence, and curl. Stokes' Theorem and the Divergence Theorem.
  - Course Outline (Topics to be Covered)
  - Student Learning Outcomes (SLOs) and Course Measurable Objectives (CMOs)
- MATH 285 - Linear Algebra and Differential Equations
  5 Units (Degree Applicable, CSU, UC)
  Lecture: 90 hours
  Prerequisite: MATH 280
  
  First order ordinary differential equations, with applications and numerical methods. Solutions to higher order differential equations using undetermined coefficients, variation of parameters, and power series, with applications. Solutions to linear and non-linear systems of differential equations, including numerical solutions. Matrix algebra, solutions of linear systems of equations, and determinants. Vector spaces, linear independence, basis and dimension, subspace and inner product space, including the Gram-Schmidt procedure. Linear transformations, kernel and range, eigenvalues, eigenvectors, diagonalization and symmetric matrices.
  - Course Outline (Topics to be Covered)
  - Student Learning Outcomes (SLOs) and Course Measurable Objectives (CMOs)
- MATH 290 - Differential Equations
  4 Units (Degree Applicable, CSU, UC)
  Lecture: 72 hours
  Prerequisite: MATH 280
  
  First-order ordinary differential equations, including separable, linear, homogeneous, Bernoulli, and exact, with applications and numerical methods. Solutions to higher-order differential equations using undetermined coefficients, variation of parameters, power series, and Laplace transforms, with applications. Solutions to linear and non-linear systems of differential equations, including numerical solutions.
  - Course Outline (Topics to be Covered)
  - Student Learning Outcomes (SLOs) and Course Measurable Objectives (CMOs)

Courses Not Currently Offered

- MATH 50 - Pre-Algebra
  3 Units (Not Degree Applicable)
  Lecture: 54 hours
  Prerequisite: LERN 49 or appropriate placement
  
  Fundamental principles of mathematics designed to ease the transition from arithmetic to algebra. Concepts, computational skills, thinking skills and problem-solving skills are balanced to build proficiency in elementary topics from algebra and mastery in arithmetic.
- MATH 51 - Elementary Algebra
  4 Units (Not Degree Applicable)
  Lecture: 72 hours
  Prerequisite: MATH 50 or appropriate placement
  
  Basic algebra, equivalent to first year high school algebra. Includes operations with signed numbers and algebraic expressions; linear, quadratic, rational, and radical equations; linear inequalities of one and two variables; slope/graphing/equations of lines; introduction to functions; systems of linear equations; exponent rules; polynomial operations; scientific notation; factoring; rational expressions; variation; radicals; fractional exponents; formulas; applications.
- MATH 51A - Elementary Algebra - First Half
  3 Units (Not Degree Applicable)
  Lecture: 54 hours
  Prerequisite: MATH 50 or appropriate placement
  
  Contains the first half of elementary algebra. Operations with signed numbers and algebraic expressions; linear equations and inequalities; exponent rules; polynomial operations; scientific notation; factoring; solving quadratic equations by factoring; rational expressions and equations; formulas; variation; applications.
- MATH 51B - Elementary Algebra - Second Half
  3 Units (Not Degree Applicable)
  Lecture: 54 hours
  Prerequisite: MATH 51A
  
  Contains the second half of Elementary Algebra. Includes: Cartesian Coordinate System, slope/graphing/equations of lines, solving systems of linear equations, algebraic operations with radicals, solving equations with radicals, solving second degree equations using methods of completing the square and the quadratic formula. Students must complete both MATH 51A and MATH 51B to have taken the equivalent of Elementary Algebra (MATH 51).
  - Course Outline (Topics to be Covered)
  - Student Learning Outcomes (SLOs) and Course Measurable Objectives (CMOs)
- MATH 61 - Plane Geometry
  3 Units (Degree Applicable)
  
  Lecture: 54 hours
  Prerequisite: MATH 51 or MATH 51B or appropriate placement
  
  Points, lines, polygons and circles; their relationships to each other on plane surfaces; congruence, similarity and area. Introduction to inductive, deductive and indirect reasoning. The formal proof is introduced and practiced throughout the course. Stress is placed on accuracy of statement as a background for analytical and scientific reasoning.
  - Course Outline (Topics to be Covered)
  - Student Learning Outcomes (SLOs) and Course Measurable Objectives (CMOs)
- MATH 70S - Integrated Intermediate Algebra
  5 Units (Degree Applicable)
  Lecture: 90 hours
  Prerequisite: MATH 50 or appropriate placement.
  
  Math 70S and 110S form a two-semester sequence that leads students through college level statistics. Simplification, solving of equations, graphing, and applications are covered. Each is applied to the following mathematical functions: polynomial, rational, radical, exponential and logarithmic. Rates and proportions, linear systems of equations, inequalities, sequence, series, design of experiments, one- and two-variable descriptive statistics are also covered.
- MATH 71 - Intermediate Algebra
  5 Units (Degree Applicable)
  Lecture: 90 hours
  Prerequisite: MATH 51 or MATH 51B or appropriate placement
  
  Extends concepts from elementary algebra to prepare students for college-level mathematics courses. Polynomial, rational, radical, exponential and logarithmic expressions are simplified, equations solved and functions graphed and studied; linear and nonlinear systems of equations and inequalities; conic sections; sequence, series and the binomial theorem
  - Course Outlines (Topics to be Covered):
    
    Blitzer
    
    Miller
  - Student Learning Outcomes (SLOs) and Course Measurable Objectives (CMOs)
  - Detailed Course Information
- MATH 71A - Intermediate Algebra - First Half
  3 Units (Not Degree Applicable)
  Lecture: 54 hours
  Prerequisite: MATH 51 or MATH 51B or appropriate placement
  
  Algebra of functions, polynomials, and rational expressions; functions and their graphs; systems of equations with two or three variables; absolute value and compound inequalities. Covers approximately half of the MATH 71 topics. A student must complete both MATH 71A and 71B to have taken the equivalent of MATH 71, Intermediate Algebra.
- MATH 71B - Intermediate Algebra - Second Half
  3 Units (Degree Applicable)
  Lecture: 54 hours
  Prerequisite: MATH 71A
  
  Quadratic equations and graphs; exponents, radicals and logarithms; conic sections. Covers remaining MATH 71 topics. A student must complete both MATH 71A AND 71B to have taken the equivalent of MATH 71, Intermediate Algebra.
  - Course Outline (Topics to be Covered)
  - Student Learning Outcomes (SLOs) and Course Measurable Objectives (CMOs)
- MATH 71X - Practical Intermediate Algebra
  5 Units (Degree Applicable)
  Lecture: 90 hours
  Prerequisite: MATH 51 or MATH 51B or appropriate placement.
  
  Intermediate Algebra for the non-calculus path. Polynomial, rational, radical, exponential, and logarithmic expressions are simplified, equations solved, and real-world phenomena are modeled using least-squares methods, functions graphed and analyzed; linear and nonlinear systems of equations and inequalities; sequences, series, and probabilities; data gathering instruments are used to sample data for curve fitting.
  - Course Outline (Topics to be Covered)
  - Student Learning Outcomes (SLOs) and Course Measurable Objectives (CMOs)
- MATH 96 - Strategies for Math Success
  1 Unit (Not Degree Applicable)
  (May be taken for Pass/No Pass only)
  Lecture: 18
  
  Perspectives, understandings and strategies to utilize a learning system for acquiring, understanding, remembering and producing mathematical knowledge. Course is appropriate for all levels of mathematics students.
  - Student Learning Outcomes (SLOs) and Course Measurable Objectives (CMOs)
- MATH 110S - Integrated Statistics
  5 Units (Degree Applicable, CSU, UC)
  Lecture: 90 hours
  Prerequisite: MATH 70S or appropriate placement
  
  MATH 110S is an elementary course in descriptive and inferential statistics. Observational and experimental studies, design of experiments, descriptive statistics, probability, discrete and continuous probability distributions, estimates, and hypothesis tests. For categorical data, inferences include one or two sample proportions, one- and two-way tables (chi-square goodness of fit). For quantitative data, inferences for one or two sample means, one-way ANOVA. Inferences in linear correlation and regression are included.
  - Course Outline (Topics to be Covered)
  - Student Learning Outcomes (SLOs) and Course Measurable Objectives (CMOs)