Calculus & Trigonometry (M-CT)

Week 3

September 27th

Topics:
3.2 Logarithmic Functions and Their Graphs
Evaluating Logarithms, Common and Natural Logarithms, Graphs of Logarithmic Functions, and Applications of Logarithms

3.3 Properties of Logarithms
Properties of Logarithms and Change-of-Base Formula

Assignment:
Supplemental Worksheet (Wk2)
Supplemental Worksheet (Wk3)
Online HW3 (due Oct 11th)
Quiz 3 (due Oct 11th)

Week 4

September 21st

Topics:
3.4 Exponential and Logarithmic Equations
Solving Exponential Equations and Solving Logarithmic Equations

3.5 Exponential and Logarithmic Models
Exponential Growth Models, Exponential Decay Models, Gaussian (Normal) Distribution Models, Logistic Growth Models, and Logarithmic Models

Assignment:

Week 5

September 28th

Topics:
Review Chapter 3

Assignment:

Week 6

October 5th

Topics:
4.1 Angle Measure
Angles and Their Measure, Coterminal Angles, Arc Length, Area of a Circular Sector, and Linear and Angular Speeds

4.2 Right Triangle Trigonometry
Right Triangle Ratios, Evaluating Trigonometric Functions Exactly for Special Angle Measures, and Solving Right Triangles

Assignment:

Class notes

Week 7

October 12th

Topics:
4.2 Right Triangle Trigonometry
Right Triangle Ratios, Evaluating Trigonometric Functions Exactly for Special Angle Measures, and Solving Right Triangles

4.3 Trigonometric Functions of Angles
Trigonometric Functions: The Cartesian Plane, Ranges of the Trigonometric Functions, Reference Angles and Reference Right Triangles, and Evaluating Trigonometric Functions for Nonacute Angles

Assignment:

Week 8

October 19th

Topics:
4.4 The Law of Sines
Solving Oblique Triangles

4.5 The Law of Cosines
Solving Oblique Triangles Using the Law of Cosines and The Area of a Triangle

Assignment:

supplemental

Week 9

October 26th

Topics:
Review Chapter 4

Assignment:

Week 10

November 2nd

Topics:
5.1 Trigonometric Functions: The Unit Circle ApproachTrigonometric Functions and the Unit Circle and Properties of Trigonometric (Circular) Functions

Assignment:

supplemental

Week 11

November 16th

Topics:
5.2 Graphs of Sine and Cosine Functions
The Graphs of Sinusoidal Functions, Graphing a Shifted Sinusoidal Function: y = A sin(Bx + C) + D and y = A cos(Bx + C) + D
Harmonic Motion, and Graphing Sums of Functions: Addition of Ordinates

Assignment:

Week 12

December 7th

Topics:
5.3 Graphs of Other Trigonometric Functions
Graphing the Tangent, Cotangent, Secant, and Cosecant Functions and Translations of Trigonometric Functions

Assignment:

supplemental

Week 13

December 14th

Topics:
6.1 Verifying Trigonometric Identities
Fundamental Identities, Simplifying Trigonometric Expressions Using Identities, and Verifying Identities

Assignment:

Week 14

January 4th

Topics:
6.2 Sum and Difference Identities
Sum and Difference Identities for the Cosine Function, Sum and Difference Identities for the Sine Function, and Sum and Difference Identities for the Tangent Function

Assignment:

Week 15

January 11th

Topics:
6.3 Double-Angle and Half-Angle Identities
Double-Angle Identities and Half-Angle Identities

6.4 Product-to-Sum and Sum-to-Product Identities
Product-to-Sum Identities and Sum-to-Product Identities

Assignment:

Week 16

January 18th

Topics:
6.5 Inverse Trigonometric Functions
Inverse Sine Function, Inverse Cosine Function, Inverse Tangent Function, Remaining Inverse Trigonometric Functions, and Finding Exact Values for Expressions Involving Inverse Trigonometric Functions

6.6 Trigonometric Equations
Solving Trigonometric Equations by Inspection, Solving Trigonometric Equations Using Algebraic Techniques, Solving Trigonometric Equations That Require the Use of Inverse Functions, and Using Trigonometric Identities to Solve Trigonometric Equations

Assignment:

Week 17

January 25th

Topics:
Review Chapter 6

Assignment:

Week 18

February 1st

Topics:
7.1 Vectors
Magnitude and Direction of Vectors, Vector Operations, Horizontal and Vertical Components of a Vector, Unit Vectors, and Resultant Vectors

7.2 The Dot Product
The Dot Product, Angle Between Two Vectors, and Work

Assignment:

Week 19

February 8th

Topics:
7.3 Polar (Trigonometric) Form of Complex Numbers
Complex Numbers in Rectangular Form and Complex Numbers in Polar Form

7.5 Polar Coordinates and Graphs of Polar Equations
Polar Coordinates, Converting Between Polar and Rectangular Coordinates, and Graphs of Polar Equations

Assignment: