APPLIED CALCULUS SYLLABUS - Spring 2020
Week(s) |
Topics |
Readings |
1 - 2 |
Review of real numbers, inequalities, interval notation, Cartesian Plane, lines, and exponents. Review of functions; linear and quadratic
functions, quadratic equations; polynomial,
rational, exponential, logarithmic functions |
|
§§ 1.1-1.4, and class notes |
|
2 - 6 |
Limits, continuity, rates of change, secant and tangent lines, derivatives, differentiation formulas,
marginal cost, product and quotient rules, higher-order derivatives, chain rule, derivatives of exponential and
logarithmic functions. non-differentiable functions |
|
§ 2.1 and classnotes, §§ 2.2-2.6, Classnotes roughly corresponding to portions of §§4.3, § 2.7 |
|
7 - 9 |
Graphing using first and second derivatives, and optimization. |
|
|
9 |
Implicit differentiation and related rates. |
|
|
10 |
Relative rates and elasticity of demand. |
|
|
11 - 13 |
Integration: anti-derivatives and indefinite integrals; definite integrals and applications,
including (if time permits) consumers' and producers' surplus. |
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Class notes roughly corresponding to §§ 5.1-5.4. Portions of §§ 5.5 and 5.6, if time permits. |
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Notes:
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