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Single Variable Calculus >> Content Detail



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Calendar

SES #TOPICSKEY DATES
Derivatives
0Recitation: graphing
1Derivatives, slope, velocity, rate of change
2

Limits, continuity

Trigonometric limits

3Derivatives of products, quotients, sine, cosine
4

Chain rule

Higher derivatives

5Implicit differentiation, inversesProblem set 1 due
6

Exponential and log

Logarithmic differentiation; hyperbolic functions

7Hyperbolic functions and exam 1 review
8Exam 1 covering Ses #1-7
Applications of Differentiation
9Linear and quadratic approximations
10Curve sketching
11Max-min problemsProblem set 2 due
12Related rates
13Newton's method and other applications
14

Mean value theorem

Inequalities

Problem set 3 due
15Differentials, antiderivatives
16Differential equations, separation of variables
17Exam 2 covering Ses #8-16
Integration
18Definite integrals
19First fundamental theorem of calculusProblem set 4 due
20Second fundamental theorem
21Applications to logarithms and geometry
22Volumes by disks, shellsProblem set 5 due
23Work, average value, probability
24Numerical integration
25Exam 3 review
Techniques of Integration
26Trigonometric integrals and substitution
27Exam 3 covering Ses #18-24Problem set 6 due
28Integration by inverse substitution; completing the square
29Partial fractions
30Integration by parts, reduction formulaeProblem set 7 due
31Parametric equations, arclength, surface area
32

Polar coordinates; area in polar coordinates

Exam 4 review

33Exam 4 covering Ses #26-32
34Indeterminate forms - L'Hôspital's rule
35Improper integrals
36Infinite series and convergence tests
37Taylor's seriesProblem set 8 due
38Final review
Final exam

 








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