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Mathematics          

Course Descriptions       

 
    • MATH 50 - Pre-Algebra

      MATH 50 - Pre-Algebra

      3 Units
      Not Degree Applicable
      54 hours lecture
      Prerequisite: Credit in LERN 49 or qualifying score on current department
      placement test
      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 and
      mastery.
      
    • MATH 51 - Elementary Algebra

      MATH 51 - Elementary Algebra

      4 Units
      Not Degree Applicable
      72 hours lecture
      Prerequisite: MATH 50 or qualifying score on current department
      placement test
      Basic algebra, equivalent to first year high school algebra. Includes
      operations with signed numbers and algebraic expressions, linear
      equations and inequalities, polynomial operations and factoring, rational
      expressions and equations, Cartesian Coordinate System,
      slope/graphing/ equations of lines, systems of linear equations,
      ratio/proportion, formulas and variation, applications, radicals and
      exponents, quadratic equations.
      
    • MATH 51A - Elementary Algebra

      MATH 51A - Elementary Algebra

      3 Units
      Not Degree Applicable
      54 hours lecture
      Prerequisite: MATH 50 or qualifying score on current department
      placement test
      Contains the first half of elementary algebra. Operations with signed
      numbers and algebraic expressions; linear equations and inequalities;
      polynomial operations and factoring; rational expressions and
      equations; ratios, proportions, formulas, and variation; applications.
      
    • MATH 51B - Elementary Algebra
       

      MATH 51B - Elementary Algebra

      3 Units
      Not Degree Applicable
      54 hours lecture
      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).
      
    • MATH 61 - Plane Geometry
       

      MATH 61 - Plane Geometry

      3 Units
      Degree Applicable
      54 hours lecture
      Prerequisite: MATH 51 or MATH 51B or MATH 52 or qualifying score on
      current department placement test
      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.
      
    • MATH 70S - Integrated Intermediate Algebra

      MATH 70S - Integrated Intermediate Algebra

      5 Units
      Degree Applicable
      90 hours lecture
      Prerequisite: MATH 50 or qualifying score on
      current department placement test
      Math 70S is an intermediate algebra course that integrates topics
      from statistics, and is the prerequisite to Math 110S
    • MATH 71 - Intermediate Algebra

      MATH 71 - Intermediate Algebra

      5 Units
      Degree Applicable
      90 hours lecture
      Prerequisite: MATH 51 or MATH 51B or qualifying score on current
      department placement test
      Reviews and extends concepts from elementary algebra, and introduces
      new content to prepare students for a variety of subsequent
      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.
      Application problems appear throughout the course.
      
    • MATH 71A - Intermediate Algebra

      MATH 71A - Intermediate Algebra

      3 Units
      Degree Applicable
      54 hours lecture
      Prerequisite: MATH 51 or MATH 51B or qualifying score on current
      department placement test.
      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 some MATH 71 topics
      at a slower pace. A student must complete both MATH 71A and 71B to
      have taken the equivalent of MATH 71, Intermediate Algebra.
      
    • MATH 71B - Intermediate Algebra
       

      MATH 71B - Intermediate Algebra

      3 Units
      Degree Applicable
      54 hours lecture
      Prerequisite: MATH 71A
      Quadratic equations and graphs; exponents, radicals and logarithms;
      conic sections. Covers remaining MATH 71 topics at a slower pace. A
      student must complete both MATH 71A AND MATH 71B to have taken
      the equivalent of MATH 71A, Intermediate Algebra.
      
    • MATH 71X - Practical Intermediate Algebra
       

      MATH 71X - Practical Intermediate Algebra

      5 Units
      Degree Applicable
      90 hours lecture
      Prerequisite: Math 51 or Math 51B or qualifying score on current
      department placement test.
      Intermediate Algebra for the non-calculus path. Recommended for
      Humanities, Social Sciences, and Applied Sciences. Recommended
      prerequisite for Math 100, Math 110, and Math 120. Polynomial,
      rational, radical, exponential and logarithmic expressions are simplified,
      equations solved, and real-world phenomena are modeled using leastsquares
      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.
      
    • MATH 96 - Strategies for Math Success

      MATH 96 - Strategies for Math Success

      1 Unit
      Not Degree Applicable
      (May be taken for Pass/No Pass only)
      18 hours lecture
      Learning tools, plans and proper perspectives for math learning
      improvement. Use of natural intelligence strengths to simplify and
      optimize your mathematical educational experience. Overcome test
      anxiety and enhance testing abilities. Course is appropriate for all levels
      of mathematics students.
      
    • MATH 100 - Survey of College Mathematics

      MATH 100 - Survey of College Mathematics

      3 Units
      (CAN MATH02) Degree Applicable, CSU, UC
      54 hours lecture
      Prerequisite: (MATH 71 or MATH 71X or MATH 71B or qualifying score on
      current department placement test) and (MATH 61 or passing score on
      current geometry competency test)
      Introduction to 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 110 - Elementary Statistics
       

      MATH 110 - Elementary Statistics

      3 Units
      (CAN STAT02) Degree Applicable, CSU, UC
      54 hours lecture
      Prerequisite: MATH 71 or MATH 71X or MATH 71B or qualifying score on
      current department placement test
      Emphasis is placed on the understanding of 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:
        • Triola (primary text).  This text is to be used by all adjunct faculty memebers.
        • Navidi,  Guth.  These texts are to be used with special permission from the department.
      • SLO/CMO
    • MATH 110H - Elementary Statistics - Honors

      MATH 110H - Elementary Statistics - Honors

      3 Units
      (CAN STAT02) Degree Applicable, CSU, UC
      54 hours lecture
      Prerequisite: (MATH 71 or MATH 71X or MATH 71B or qualifying passing
      score on current department placement test) and acceptance into the
      Honors Program
      Emphasis is placed on the understanding of 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. Students may not receive
      credit for both MATH 110 and MATH 110H.
      
    • MATH 110S - Elementary Statistics

      MATH 110S - Elementary Statistics

      5 Units
      Degree Applicable, CSU, UC
      90 hours lecture
      Prerequisite: Math 70S
      Math 110S is an elementary statistics course, covering typical topics
      from descriptive and inferential statistics.
    • MATH 120 - Finite Mathematics

      MATH 120 - Finite Mathematics

      3 Units
      (CAN MATH12) Degree Applicable, CSU, UC
      54 hours lecture
      Prerequisite: MATH 71 or MATH 71X or MATH 71B or qualifying score on
      current department placement test.
      Mathematics for business, social science and biological science majors.
      Topics include linear programming, matrix theory, probability, statistics,
      stochastic processes, Markov chains, and math of finance.
      
    • MATH 130 - College Algebra

      MATH 130 - College Algebra

      4 Units
      (CAN MATH10) Degree Applicable, CSU, UC
      72 hours lecture
      Prerequisite: MATH 71 or MATH 71B or qualifying score on current
      department placement test
      A college-level course in algebra. A 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.
      
    • MATH 140 - Calculus for Business

      MATH 140 - Calculus for Business

      4 Units
      (CAN MATH34) Degree Applicable, CSU, UC
      72 hours lecture
      Prerequisite: MATH 130 or MATH 160 or qualifying score on current
      department placement test.
      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. Credit not given to
      persons with credit in MATH 180 or equivalent.
      
    • MATH 150 - Trigonometry

      MATH 150 - Trigonometry

      3 Units
      (CAN MATH08) Degree Applicable, CSU
      54 hours lecture
      Prerequisite: MATH 71 or 71B or qualifying score on current department
      placement test AND Math 61 or passing score on current geometry
      competency test.
      Trigonometry 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
       

      MATH 160 - Precalculus Mathematics

      4 Units
      (CAN MATH16) Degree Applicable, CSU, UC
      72 hours lecture
      Prerequisite: MATH 150, or qualifying score on current department
      placement test.
      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.
      
    • MATH 180 - Calculus and Analytic Geometry

      MATH 180 - Calculus and Analytic Geometry

      4 Units
      (CAN MATH18) Degree Applicable, CSU, UC
      CAN MATH SEQ B
      72 hours lecture
      Prerequisite: MATH 160 or qualifying score on current department
      placement test
      Functions, curve sketching, limits, the derivative, rules for differentiation
      of algebraic and trigonometric functions, applications of the derivative.
      Indefinite and definite integrals, numerical integration, and calculus
      with exponential, logarithmic, and other transcendental functions.
      
    • MATH 181 - Calculus and Analytic Geometry

      MATH 181 - Calculus and Analytic Geometry

      5 Units
      (CAN MATH20) Degree Applicable, CSU, UC
      CAN MATH SEQ B
      90 hours lecture
      Prerequisite: MATH 180
      Applications of integration, techniques of integration; indeterminate
      forms and improper integrals; infinite series; plane curves and
      parametric equations; vectors in two and three space and their
      applications.
      
    • MATH 280 - Calculus and Analytic Geometry

      MATH 280 - Calculus and Analytic Geometry

      5 Units
      (CAN MATH22) Degree Applicable, CSU, UC
      CAN MATH SEQ C
      90 hours lecture
      Prerequisite: MATH 181
      Analysis of vector-valued functions of several variables, partial
      derivatives, differentials, the chain rule, directional derivatives and the
      gradient. Extrema of functions of several variables with applications.
      Double and triple integrals in various coordinate systems with
      applications. Vector fields, line integrals, work, independence of path in
      conservative fields. Green’s Theorem, surface integrals, flux, divergence
      and curl, Stokes’ Theorem, the Divergence Theorem.
      
    • MATH 285 - Linear Algebra and Differential Equations
       

      MATH 285 - Linear Algebra and Differential Equations

      5 Units
      (CAN MATH24) Degree Applicable, CSU, UC
      90 hours lecture
      Prerequisite: MATH 280
      First order ordinary differential equations, including separable, linear,
      homogeneous of degree zero, Bernoulli and exact 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.
      


A Registration Guide for Math 50 & Math 51 Students