Applied Calculus
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APPLIED CALCULUS SYLLABUS - Spring 2020

Week(s)

Topics

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.
 §§ 3.1-3.4, 4.3

9

 Implicit differentiation and related rates.
 §§ 3.6, 4.3

10

 Relative rates and elasticity of demand.
 § 4.4

11 - 13

 Integration: anti-derivatives and indefinite integrals; definite integrals and applications, including (if time permits) consumers' and producers' surplus.
 Class notes roughly corresponding to §§ 5.1-5.4. Portions of §§ 5.5 and 5.6, if time permits.

Notes:

• Unless otherwise noted, readings are from the textbook Brief Applied Calculus 7th Edition by Geoffrey C. Berresford and Andrew M. Rockett.

• See the Exams page for the scheduling of examinations.

You MUST take all examinations with YOUR section. Failure to do so will result in a grade of 0 on the examination.