# MATHEMATICS & STATISTICS

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1 Area: Mathematics Dean: Nancy Reitz, Interim Phone: (916) Counseling: (916) Mathematics Degree The A.S. degree in mathematics provides a foundation of mathematics for students in preparation for transfer to a four-year program in mathematics or statistics. Course work includes a three-semester calculus series, differential equations, linear algebra, and statistics and/or symbolic logic. Student Learning Outcomes Upon completion of this program, the student will be able to: identify, formulate, and solve applied problems (using calculus and linear algebra) in verbal, numeric, graphical, and symbolic form related to science, economics, or business. recognize and construct valid arguments using deductive and inductive reasoning skills. define and utilize terminology of mathematics with emphasis in calculus, linear algebra, and either statistics, logic or problem solving. calculate derivatives and integrals using a variety of defined rules and strategies of calculus, algebraic properties and trigonometric identities. Requirements for Degree 2 MATH 400 Calculus I...5 MATH 401 Calculus II...5 MATH 402 Calculus III...5 MATH 410 Introduction to Linear Algebra...3 MATH 420 Differential Equations...4 And a minimum of 3 units from the following:...3 MATH 320 Symbolic Logic (3) or PHIL 324 Symbolic Logic (3) STAT 300 Introduction to Probability and Statistics (4) Associate Degree Requirements: The Mathematics Associate in Science (A.S.) Degree may be obtained by completion of the required program, plus general education requirements, plus sufficient electives to meet a 60-unit total. See ARC graduation requirements. Degree: It is highly recommended that you review the prerequisite course material to enhance your chance of success. See the Mathematics Department website for suggested resources: A.S. - Mathematics A.S. - Physical Science/Mathematics A.S. for Transfer Degree - Mathematics Physical Science/Mathematics Degree This degree provides a broad study in the fields of physical science and mathematics. It is a good foundation for transfer to a four-year program in science, technology, engineering, or mathematics (STEM). Student Learning Outcomes Upon completion of this program, the student will be able to: recognize and utilize correctly the terminology of math, statistics and/or science. analyze and interpret data, charts and graphs using quantitative and qualitative methods. recognize and construct valid arguments using deductive and inductive reasoning. evaluate new and accepted ideas about the natural universe using testable methodology. Career Opportunities This program is intended to provide a broad foundation of skills and knowledge to help students succeed in the completion of a bachelor s degree in a variety of science, math or engineering-related areas. Requirements for Degree 18 Units A minimum of 18 units from the following:...18 ASTR 300, 310, 320, 330, 400, 480, 481, 495, 499 CHEM 305, 306, 309, 310, 311, 334, 400, 401, 420, 421, 423, 495, 499 ENGR 300, 305, 310, 312, 320, 401, 413, 420, 430, 495, 499 GEOG 300, 301, 305, 306, 307, 308, 309, 390, 495, 499 GEOL 300, 301, 305, 306, 310, 311, 320, 325, 330, 331, 342, 345, 390, 495, 499 MATH 300, 310, 320, 325, 330, 336, 340, 342, 350, 351, 355, 356, 370, 400, 401, 402, 410, 420, 480, 495, 499 PHYS 310, 311, 312, 350, 360, 410, 421, 431, 495, 499 PS 300, 301, 495, 499 STAT 300, 305, 495, 499 Associate Degree Requirements: The Physical Science/Mathematics Associate in Science (A.S.) Degree may be obtained by completion of the required program, plus general education requirements, plus sufficient electives to meet a 60-unit total. See ARC graduation requirements. American River College Catalog

2 Mathematics A.S. for Transfer Degree This degree is designed to meet common lower-division requirements for a major in Mathematics at a CSU campus. Satisfactory completion of the ARC Mathematics transfer degree provides a solid foundation and satisfies the standard prerequisites for upper division coursework for Mathematics majors. However, it is highly recommended that students meet with a counselor since major and general education requirements vary for each college/university. The Mathematics Associate in Science for Transfer (AS-T) Degree may be obtained by completion of 60 transferable, semester units with a minimum 2.0 GPA, including (a) the major or area of emphasis described in the Required Program, and (b) the Intersegmental General Education Transfer Curriculum (IGETC) or the California State University General Education Breadth Requirements. Student Learning Outcomes Upon completion of this program, the student will be able to: evaluate, describe, and apply single variable calculus including various forms of derivatives and integrals, to analyze and solve problems. evaluate, describe, and apply multivariate calculus, linear algebra, and differential equations to analyze and solve problems. prepare logical arguments and use them to prove basic mathematical theorems. solve real-world application problems using appropriate mathematical problem-solving skills. Career Opportunities Mathematicians work as statisticians, analysts, computer programmers, actuaries, researchers, planners, and educators. This transfer degree is designed to meet the common lower-division requirements for most bachelor s degrees in Mathematics. Requirements for Degree 22 Units MATH 400 Calculus I...5 MATH 401 Calculus II...5 MATH 402 Calculus III...5 MATH 410 Introduction to Linear Algebra...3 MATH 420 Differential Equations...4 Associate in Science for Transfer Degree Requirements: The Mathematics Associate in Science for Transfer (A.S.T.) Degree may be obtained by completion of 60 transferable, semester units with a minimum 2.0 GPA, including (a) the major or area of emphasis described in the Required Program, and (b) either the Intersegmental General Education Transfer Curriculum (IGETC) or the California State University General Education- Breadth Requirements. Mathematics MATH 10 Developing Confidence in Math 1 Unit Advisory: Concurrent enrollment in another math course Hours: 18 hours LEC This course helps students recognize common misconceptions of mathematics, overcome math anxiety, and build confidence in math. Topics include relaxation techniques, study habits, and problem solving strategies. This course is also useful for tutors, counselors, and teachers interested in helping others overcome their math anxiety. Pass/No Pass only. MATH 23 Computational Arithmetic - Part I 2 Units Advisory: Confirm placement using ARC s Math Self-Assessment System Hours: 36 hours LEC This course introduces the fundamentals of arithmetic with an emphasis on computational skills. Topics include whole numbers, exponents, order of operations, factors, fractions, problem solving, and applications. MATH 24 Computational Arithmetic - Part II 2 Units Prerequisite: MATH 23 with a grade of C or better Hours: 36 hours LEC This course completes the fundamentals of arithmetic with an emphasis on computational skills. Topics include rounding decimals, operations on decimals, ratios, rates, proportions, percents, problem solving, and applications. MATH 25 Computational Arithmetic Advisory: Placement through the math assessment process. This course introduces the fundamentals of arithmetic with an emphasis on computational skills. Topics include whole numbers, exponents, order of operations, factors, fractions, decimals, problem solving, and applications. MATH 32 Pre-Algebra Prerequisite: MATH 24, 25, or 41 with a grade of C or better; This course briefly reviews the fundamentals of arithmetic, including fractions, decimals, and order of operations. Course content includes signed numbers, ratios, proportions, percent, concepts of variables, area/perimeter/volume of geometric figures, and solving basic linear equations. MATH 38 Pre-Algebra - Part I 2 Units Prerequisite: MATH 24, 25, or 41 with a grade of C or better; Hours: 36 hours LEC This course introduces material that is essential for success in algebra. Topics include order of operations, signed numbers, application problems, concepts of variables, exponents, and solving equations. In addition, the fundamentals of arithmetic are briefly reviewed, including operations on whole numbers, fractions, and decimals. MATH 39 Pre-Algebra - Part II 2 Units Prerequisite: MATH 38 with a grade of C or better Hours: 36 hours LEC This course completes material that is essential for success in algebra. Topics include percent problems, proportions, solving algebraic equations, applications of equations, polynomials, graphing points and lines, and area/perimeter/volume of geometric figures. MATHEMATICS & STATISTICS 387 American River College Catalog

3 Mathematics & Statistics Courses Multimedia Math Learning Center Math 41 (3 units) Algebra Readiness I Math 42 (3 units) Algebra Readiness II Math 131 (3 units) Combined Algebra I Math 132 (3 units) Combined Algebra II Math 133* (3 units) Combined Algebra III Math 120, 125, 129, and 133 satisfy the intermediate algebra* prerequisite for these courses (Math 310 also requires geometry) Stat 300 (4 units) Intro to Probability & Statistics Math 300 (3 units) Intro to Math Ideas Math 310 (3 units) Math Discovery Math 320 (3 units) Introduction to Symbolic Logic Math 325 (3 units) Problem Solving STATWAY: Students meeting the prealgebra prerequisite may take this two-semester accelerated program from algebra through statistics { { Arithmetic Prealgebra Elementary Algebra Intermediate Algebra* Math 330 (3 units) Trigonometry Math 370 (5 units) Precalculus Math 400 (5 units) Calculus I Math 401 (5 units) Calculus II Math 402 (5 units) Calculus III Math 420 (4 units) Differential Equations Stat 105 (6 units) Statway I Mathematics & Statistics Courses (Recommended) Math 25 (3 units) Math 32 (3 units) Math 100 (5 units) { Math 103 (3 units) Math 104 (3 units) Math 120 (5 units) Math 125 (4 units) Math 129 (9 units) (combines Math 100 & 120) Math 410 (3 units) Linear Algebra Stat 305 (6 units) Statway II Math 350 (3 units) Calculus for Life & Social Sciences I Math 351 (3 units) Calculus for Life & Social Sciences II Math 10 (1 unit) Developing Math Confidence Math 110 (5 units) Geometry Math 120, 129, and 133 (but not 125) satisfy the intermediate algebra* prerequisite for these courses (Math 330 also requires geometry) Math 330 (3 units) Trigonometry Math 336 (5 units) College Algebra Math 340 (3 units) Calculus for Business Math 342 (3 units) Modern Business Math Note: An arrow connects a prerequisite to the next course. *Math 120, Math 129, and Math 133 each satisfy the intermediate algebra prerequisite for any course. Math 125 satisfies the intermediate algebra prerequisite only where indicated. Trigonometry has two mathematical prerequisites: intermediate algebra and geometry. American River College Catalog

9 STAT 305 Statway, Part II 6 Units Prerequisite: STAT 105 with a grade of C or better Advisory: ENGRD 116 or ESLR 320 Hours: 108 hours LEC This is the second semester of a two-semester course that introduces the concepts of probability and statistics with requisite arithmetic and algebraic topics integrated throughout. It is structured to serve students planning to transfer and continue studies in humanities or social sciences. Statistics topics emphasize data analysis and include basic concepts of probability; confidence intervals; hypothesis tests for means, proportions, and variance; chi-squared tests; and ANOVA (Analysis of Variance). Algebra topics include proportional relationships (including variation) with applications, expressions, linear equations and systems with applications, functions, quadratic and exponential equations, and linear and exponential/logarithmic models. Learning strategies for success with an emphasis on study skills, resource acquisition, and maintaining a positive perspective towards learning are also discussed and applied. Both parts of Statway must be completed with a grade of C or better to receive credit for three units of transfer-level statistics. STAT 495 Independent Studies in Statistics 1- Hours: hours LAB Independent Study is an opportunity for the student to extend classroom experience in this subject, while working independently of a formal classroom situation. Independent study is an extension of work offered in a specific class in the college catalog. To be eligible for independent study, students must have completed the basic regular catalog course at American River College. They must also discuss the study with a professor in this subject and secure approval. Only one independent study for each catalog course will be allowed. American River College Catalog

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