Honors Calculus

Unit 7 – Applications of Integration

Notes:

Keeper 34 – Area Between Two Curves

Keeper 35 – Average Function Value and Mean Value Theorem

Keeper 36 – Differential Equations

Keeper 37 – Volume of Solids with Known Cross Sections

Keeper 38 – Volumes of Revolution

Answer Keys:

Applications of Integrals Key

Unit 6 – Integration Rules

Unit Plan

Keepers (Notes):

Keeper 31 – U Substitution – Indefinite Integrals

Keeper 32 – U Substitution – Definite Integrals

Keeper 33 – Integration By Parts Integration Rules

Worksheets and Answer Keys:

Rules of Integration Answer Key

Unit 5 – Introduction to Integrals

Meaning of Integration Unit Plan

Keepers (Notes):

Keepers 38 – 41

Worksheets and Answer Keys:

Unit 6 – Worksheet Answers

Unit 4 – Derivative Application

Keepers (Notes):

Application of Derivatives Notes – Worked Out

Keeper 21 – Curve Sketching

Keeper 22 – Curve Sketching

Keeper 23 – Interpreting Graphs

Keeper 24 – Particle Motion

Keeper 25 – Optimization

Keeper 26 – Related Rates

Worksheets and Answer Keys:

Applications of Derivatives – Homework Packet Answer Key

Unit 3 – Derivatives

Derivative Rules Unit Plan

Keepers (Notes):

Keeper 13 – Definition of the Derivative

Keeper 14 – Secant, ,Tangent, and Normal Lines

Keeper 15 – Power and Sum and Difference Rules

Keeper 16 – The Product and Quotient Rules

Keeper 17 – The Chain Rule

Keeper 18 – the Derivative of Logarithmic, Exponential, and Trigonometric Functions

Keeper 19 – Implicit Differentiation

Keeper 20 – L’Hopitals Rule-

Worksheets and Answer Keys:

Unit 3 – Derivatives Worksheet Answer Keys

Winter Break Review 8

Winter Break Review 7

Winter Break Review 6

Winter Break Review 5

Winter Break Review 4

Winter Break Review 3

Winter Break Review 2

Winter Break Review 1

 

Unit 2 – Limits

Limits Unit Plan

Keepers (Notes):

Keeper 7 – Finding Limit from Graphs

Keeper 7 – Finding Limits From Graphs

Keeper 8 – Graphs from Limits-

Keeper 8 – Graphs From Limits

Keeper 9 – One-Sided Limits and Continuity

Keeper 9 – One-Sided Limits and Continuity

Keeper 10 – Algebraic Limits

Keeper 10 – Algebraic Limits

Keeper 11 – Intermediate Value Theorem

Keeper 11 – Intermediate Value Theorem

Keeper 12 – Asymptotes, End Behavior and Infinite Limits

Keeper 12 – Asymptotes, End Behavior, and Infinite Limits

Worksheets and Answer Keys:

Keeper 7 – Limits from Graphs Worksheet

Keeper 8 – Graphs from Limit Worksheet

Keeper 9 – One-Sided Limits and Continuity Worksheet

Keeper 10 – Algebraic Limits Worksheet

Keeper 10 – Creative Factoring and Other Interesting Algebra Keeper 11 – Intermediate Value Theorem Worksheet

Keeper 12 – Infinite Limits Worksheet

Keeper 12 – Vertical and Horizontal Asymptotes Worksheet

Limits Review

Unit 2 Limits Answer Key

Unit 1 – Pre-Calculus

Pre-Calculus Unit Plan

Keepers (Notes):

Keeper 1 – Factoring

Keeper 1 – Factoring

Keeper 2 – Graphs and Models

Keeper 2 – Graphs and Models

Keeper 3 – Linear Models and Rates of Change

Keeper 3 – Linear Models and Rates of Change

Keeper 4 – Functions and Their Graphs

Keeper 4 – Functions and Their Graphs

Keeper 5 – Exponentials and Logarithms

Keeper 5 – Exponentials and Logarithms

Keeper 6 – The Unit Circle

Keeper 6 – Unit Circle

Worksheets and Answer Keys:

Keeper 1 – Factoring Worksheet

Keeper 2 – Graphs and Models Worksheet

Keeper 3 – Average Rate of Change Worksheet

Keeper 3 – Writing Linear Equations

Keeper 4 – Evaluating Functions and Domain and Range

Keeper 4 – Function Transformations

Keeper 5 – Exponentials and Logs Worksheet

Keeper 6 – The Unit Circle Worksheet

Unit 1 Precalculus Homework Answer Keys

Welcome to Honors Calculus!

General Information:

There are some websites that do a great job with extra practice and/or if you need added reinforcement of concepts.  Paul’s Online Notes,  and Kahn Academy  all offer tutorials for many concepts.

Helpful websites:

https://www.khanacademy.org/math/algebra/algebra-functions/domain-and-range/e/domain_and_range_0.5

https://www.khanacademy.org/math/algebra/algebra-functions/determining-the-domain-of-a-function/v/domain-of-a-radical-function

http://www.mesacc.edu/~scotz47781/mat120/notes/rational/domain/domain_of_rational_practice.html

http://www.beatthegmat.com/critical-points-method-for-inequalities-explained-useful-t110450.html

http://www.sosmath.com/algebra/solve/solve0/solvtrig.html:

https://www.mcckc.edu/tutoring/docs/bt/exp_rad_log/Logarithms_and_Their_Properties.pdf

http://dl.uncw.edu/digilib/mathematics/algebra/mat111hb/eandl/equations/equations.html