4 credits
Blue Book Description: MATH 141 is the second course in a two- or three-course calculus sequence for students in science, engineering and related fields. Calculus is an important building block in the education of any professional who uses quantitative analysis. This course further introduces and develops the mathematical skills required for analyzing growth and change and creating mathematical models that replicate reallife phenomena. The goals of our calculus courses include to develop the students’ knowledge of calculus techniques and to use the calculus environment to develop critical thinking and problem solving skills. This course covers the following topics: logarithms, exponentials, and inverse trigonometric functions; applications of the definite integral and techniques of integration; sequences and series; power series and Taylor polynomials; parametric equations and polar functions. Students may take only one course for credit from MATH 141, 141B, and 141H.
Pre-requisites: MATH 140 or MATH 140A or MATH 140B or MATH 140E or MATH 140G or MATH 140H.
Pre-requisite for: MATH 230, MATH 231, MATH 250, MATH 251, MATH 311W, MATH 312
Bachelor of Arts: Quantification
General Education: Quantification (GQ)
GenEd Learning Objective: Crit and Analytical Think
GenEd Learning Objective: Key Literacies
Suggested Textbook:
Single Variable Calculus: Early Transcendentals, Vol 2, 8th edition, by James Stewart, published by Brookes/Cole Cengage Learning
Check with your instructor to make sure this is the textbook used for your section.
Topics:
Chapter 7: Techniques of Integration
7.1 Integration by Parts
7.2 Trigonometric Integrals
7.3 Trigonometric Substitution
7.4 Integration of Rational Functions by Partial Fractions
7.5 Strategy for Integration
7.7 Approximate Integration
7.8 Improper Integrals
Chapter 8: Further Applications of Integration
8.1. Arc Length (optional)
Chapter 11: Infinite Sequences and Series
11.1 Sequences
11.2 Series
11.3 The Integral Test and Estimates of Sums
11.4 The Comparison Tests
11.5 Alternating Series
11.6 Absolute Convergence and the Ratio and Root Tests
11.7 Strategy for Testing Series
11.8 Power Series
11.9 Representations of Functions as Power Series
11.10 Taylor and Maclaurin Series
11.11 Applications of Taylor Polynomials (optional)
Chapter 10: Parametric Equations and Polar Coordinates
10.1 Curves Defined by Parametric Equations
10.2 Calculus with Parametric Curves (Surface Area is Optional)
10.3 Polar Coordinates
10.4 Areas and Length in Polar Coordinates