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 

§§ 1.11.4, and class notes 

2  6 
Limits, continuity, rates of change, secant and tangent lines, derivatives, differentiation formulas,
marginal cost, product and quotient rules, higherorder derivatives, chain rule, derivatives of exponential and
logarithmic functions. nondifferentiable functions 

§ 2.1 and classnotes, §§ 2.22.6, 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: antiderivatives and indefinite integrals; definite integrals and applications,
including (if time permits) consumers' and producers' surplus. 

Class notes roughly corresponding to §§ 5.15.4. Portions of §§ 5.5 and 5.6, if time permits. 

Notes:
