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Math 151 (formerly Math 200) Calculus I
CALCULUS AND ANALYTICAL GEOMETRY I
Math&151
COURSE GOALS/OBJECTIVES:
A traditional first course in differential calculus intended for math and science majors. Some proofs of derivative laws. Study of functions, limits, continuity, limits at infinity, differentiation of algebraic, exponential, logarithmic, and trigonometric functions and their inverses. Applications.
A graphing calculator is required.
Prerequisite: Math&142 (formerly 131) or equivalent with a grade of "C" or better.
PROPOSED COURSE CONTENT
(pending department approval)
2.1 Tangent & Velocity
2.2 Limit of a Function
2.3 Limit Laws
2.3 Continued & Squeeze Theorem
2.4 Delta Epsilon Limits
2.4 Continued
2.5 Continuity
2.5 Continued
2.6 Limits at Infinity
2.6 Continued
2.7 Derivatives: Rates of Change
2.7 Continued
2.8 Derivative of a Function
2.8 Continued
Review
EXAM 1
3.1 Derivatives: Polynomial and Exponential f(x)
3.1 Continued
3.2 Product & Quotient Rules
3.2 Continued
3.3 Trig Function Derivatives
3.4 Chain Rule
3.4 Continued
3.5 Implicit Differentiation
3.5 Inverse Trig Derivatives
3.6 Log Function Derivatives
Review
EXAM 2
3.7 Rates of Change: Natural/Social Science
3.7 Continued
3.8 Rates of Change: Exponential Growth/Decay
3.9 Related Rates
3.9 Continued
3.10 Differentials and Linear Approximations
3.11 Hyperbolic Functions
Review
EXAM 3
4.1 Maximum and Minimum Values
4.1 Continued
4.2 Mean Value & Rolle’s Theorem
4.2 Continued
4.3 Derivatives and Graphing
4.3 Continued
4.4 Indeterminate Form, L’Hospital’s Rule
4.5 Summary Curve Sketching
4.6 Graphing with Calculus and Calculators
4.7 Applications: Optimization
4.7 Continued
4.8 Newton’s Method
4.8 Continued
Review for Final
FINAL EXAM Part 1
FINAL EXAM Part 2
REQUIRED EVALUATION METHODS:
Written exams, quizzes, homework, class participation, group participation.
Projects may be assigned.
TEXT BOOKS:
James Stewart
CALCULUS: Early Transcendentals, 6th Edition
Thomson Learning Inc., 2008
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