
First Semester (Calculus AP) Syllabus A video tour of the curriculum Calculator doc/video listing Enrichment topics 
Rev 1 

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Copyright © 20112012, Charles Cook, dba Blue Pelican Book Co: All rights reserved. 

Unit 1: 
Function limits and continuity 
























Unit 2: 
Derivative fundamentals 
























Unit 3: 
Derivative formulas; Derivative of trig and piecewise functions 



























Unit 4: 
Chain rule, higher order derivatives, applied rates of change 
























Unit 5: 
Implicit differentiation 
























Unit 6: 
Rolle's and the Mean Value Theorem; First and second derivative tests; Critical values 



























Unit 7: 
Optimization (maximizing & minimizing) 


















Unit 8: 
Derivatives of inverse, exponential, and logarithm functions 
























Unit 9: 
Antiderivatives (indefinite integrals) 
























Sem 1: 
Semester summary 















Copyright © 20112012, Charles Cook, dba Blue Pelican Book Co: All rights reserved. 