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LONG ISLAND UNIVERSITY * B
DEPARTMENT OF MATHEMATICS
MATHEMATICS 40 SYLLABUS * PREREQUISITE - MATH 30
TEXT: Anton, Bivens and Davids; Calculus. 7th Edition; John Wiley & Sons, Inc.
COURSE GUIDELINES:
a) The final grade is based on a minimum of three tests and a cumulative final examination.
b) There are no take-home examinations.
c) Each class meeting lasts 100 minutes.
MEETINGS
SECTION
EXERCISES (ODD)
4
2.1, Limits (An Intuitive Approach)
2.2, Computing Limits
2.3, Computing Limits: End Behavior
2.5, Continuity
2.6, Limits and Continuity of Trig-Functions
(pg.l08) 1-18
(pg.122) 1-40
(pg.131) 1-40
(pg.147) 1-44
(pg.159) 1-40
5
3.1, Slopes and Rate of Change
3.2, The Derivative
3.3, Techniques of Differentiation
3.4, Derivatives of Trigonometric Functions
3.5, The Chain Rule
3.6, Implicit Differentiation
3.7, Related Rates
3.8, Local Linear Approximation; Differentials
4.1, Analysis of Functions I: Increase, Decrease,
and Concavity
4.2, Analysis of Functions II: Relative Extrema;
First and Second Derivative Tests
4.3, Analysis of Functions III: Applying Technology
and the Tools of Calculus
4.5, Absolute Maxima and Minima
4.6, Applied Maximum and Minimum Problems
4.8, Rolle's Theorem Mean-Value Theorem
(pg.170) 1-21
(pg.177) 1-40
(pg.191) 1-66
(pg.200) 1-34
(pg.204) 1-58
(pg.211) 1-32
(pg.219) 1-47
(pg.226) 1-60
(pg.242) 1-32
5.1, An Overview of the Area Problem
5.2, The Indefinite Integral; Integral Curves
and Direction Fields
5.3, Integration by Substitution
5.4, Sigma Notation; Area as a Limit
5.5, The Definite Integral
5.6, The Fundamental Theorem of Calculus
5.7, Rectilinear Motion Revisited; Average Value
5.8, Evaluation Definite Integrals by Substitution
6.1, Area Between Two Curves
(pg.318) 1-8
(pg.323) 1-40
7.2, Exponential and Logarithmic Functions
7.3, Derivatives and Integrals Involving Logarithmic
and Exponential Functions
(pg.452) 1-37
5
1
3
(pg.250) 1-34
(pg.257) 46-58
(pg280) 1-22
(pg.288) 1-63
(pg.307) 1-45
(pg.333) 1-30
(pg.338) 1-14
(pg.351) 1-36
(pg.360) 1-45
(pg.371) 1-20
(pg.384) 1-50
(pg.398) 1-31
(pg.462) 1-55
2
7.4, Graphs and Application Involving Logarithmic
and Exponential Functions
(pg.470) 1-35
8.7, Numerical Integration; Trapezoidal Rule
(pg.565) 1, 3, 21, 27
9.1, First -Order Differential Equations and Applications (pg.596) 1, 8, 15-24
7.6, (Optional) Derivatives and Integrals Involving
Inverse Trigonometric Functions
(pg.490) 1-37