Applied Calculus

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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.
§§ 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.


    Last modified: 1/16/2020