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Math 152 (formerly Math 201) Calculus II
CALCULUS AND ANALYTICAL GEOMETRY II
Math&152
COURSE GOALS/OBJECTIVES:
The study of Riemann Sums, methods of integration, numerical methods, polar and rectangular forms, fundamental theorem of Calculus, Areas of regions, Volumes of solids, centroids, length of curves, surface area.
A graphing calculator is required.
Prerequisite: Math&151 (formerly 200) or equivalent with a grade of "C" or better.
PROPOSED COURSE CONTENT
(pending department approval)
4.9 Antiderivatives
4.9 Continued
5.1 Area under a curve. Sigma notation
5.2 Definite Integral
5.2 Continued
5.3 Fundamental Theorem of Calculus
5.3 Continued
5.4 Indefinite Integrals
5.4 Continued
5.5 Substitution Rule
5.5 Continued
Review
Exam 1
6.1 Area between Curves
6.1 Continued
6.2 Volumes (disc)
6.2 Continued
6.3 Volumes (shell)
6.3 Continued
6.4 Work
6.4 Continued and 6.5 Average Value
6.5 Continued
Review
Exam 2
7.1 Integration by Parts
7.1 Continued
7.2 Powers of Trigonometric Functions
7.2 Continued
7.3 Trigonometric Substitution
7.3 Continued
7.4 Method of Partial Fractions
7.4 Continued and 7.5 Integration Strategies
7.6 Use of Integration Tables
7.6 Continued
7.7 Trapezoidal Rule
7.7 Simpson’s Rule
7.8 Improper Integrals
7.8 Continued
Review
Exam 3
8.1 Arc Length
8.1 Continued
8.2 Area Surface Revolution
8.2 Continued
8.3 & 8.4 Applications
8.3 & 8.4 Continued
10.1 Parametric Equations
10.2 Parametric Function Calculus
10.2 Continued
10.3 Polar Coordinates
10.4 Polar Area & Arc Length
10.4 Continued
Review for Final
Final: Part I
Final: Part II
REQUIRED EVALUATION METHODS:
Written exams, quizzes, homework, class participation, group participation.
Projects may be assigned.
TEXT BOOK:
James Stewart
CALCULUS: Early Transcendentals, 6th Edition
Thomson Learning Inc., 2008
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