Mrs. Nickett AP Calculus AB

1.Introduction 2.Course of Study 3.Where do we go from here? 4.About the AP College Board Test 5.Grading 6.Bonus

A-Analytic Preparation B-Limits Derivatives Appplications of Derivatives Integration Applications of Integration C-Methods of Integration Parametric & Polar Equations Vectors Infinite Series & Sequences D-Plane Analytic Geometry Differential Equations

Appendix: Prerequisites for Calculus App. A Intervals, Inequalities, and Absolute Values App. B Coordinate Geometry App. C Trigonometric Functions Chapter 1: Functions and Models Sec. 1.1 Four Ways to Represent a Function Sec. 1.2 New Graphs from Old Functions Sec. 1.3 Graphing Calculators Sec. 1.5 Exponential Functions Sec. 1.6 Inverse Functions and Logarithms

Chapter 2: Limits and Derivatives Sec. 2.2 The Limit of a Function Sec. 2.3 Calculating Limits Using Limit Laws Sec. 2.4 Continuity Sec. 2.5 Limits Involving Infinity Sec. 2.6 Tangents, Velocities, and Other Rates of Change Sec. 2.7 Derivatives Chapter 3: Differentiation Rules Sec. 3.1 Derivatives of Polynomial & Exponential Functions Sec. 3.2 The Product and Quotient Rules Sec. 3.4 Derivatives of Trigonometric Functions Sec. 3.5 The Chain Rule Sec. 3.6 Implicit Differentiation Sec. 3.7 Derivatives of Logarithmic Functions Sec. 3.8 Linear Approximations and Differentials

Chapter 4: Applications of Differentiation Sec. 4.1 Related Rates Sec. 4.2 Maximum and Minimum Values Sec. 4.3 Derivatives and Shapes of Curves Sec. 4.5 Indeterminate Forms and L’Hospital’s Rule Sec. 4.6 Optimization Problems Chapter 5: Integrals Sec. 5.1 Areas and Distance Sec. 5.2 The Definite Integral Sec. 5.3 Evaluating Definite Integrals Sec. 5.4 The Fundamental Theorem of Calculus Sec. 5.5 The Substitution Rule Sec. 5.6 Integration by Parts Sec. 5.9 Improper Integrals

Chapter 6: Applications of Integration Sec. 6.1 More About Areas Sec. 6.2 Volumes Sec. 6.3 Arc Length Sec. 6.4 Average Value of a Function Chapter 7: Differential Equations Sec. 7.1 Differential Equations Sec. 7.2 Direction Fields

Where Do I Go From Here?

1-When & Where: Given May 7 th during the school day Guidance counselor will proctor Test runs 3hrs 15 min (about 4 hrs w/ explainations & breaks) Arrive by 7:15 2-How is the test broken up? Free Response: 3 non-calculator & 3 calculator questions Multiple Choice: 28 non-calculator & 17 calculator questions 3-Money? $84 due by March 17 th If a student decides not to take test s/he will get all of money back but $20

4-Should I take the test? We will practice for an entire month before it is time to take the exam Kids take a REAL practice test about 1 week before Grade the same as AP people-good indicator of how they will do on test. 99% of time kids will do the same or better. Want score of 3 or better (some colleges/universities want 4 or better) Benefits-Can save money -help kids take lighter load -graduate earlier -give good indication of college level test & how they will do nationally

Practice Test College Exam

 Still have final  Still work after test  Still have:  Performance Assessments  Core Assessments

Johnny bought a cow for $70, sold it for $80, bought it back again for $90, and then sold it for a final time for $100. How much profit, if any, did Johnny make?

 Thank you for coming!