Calculus l Syllabus
Presents a study of analytic geometry, limits, continuity, the calculus of
algebraic, trigonometric, exponential and logarithmic functions as well as
applications of the derivative and integral. Every topic will be taught
geometrically, numerically, and algebraically.
Chapter 1
Functions
| Lessons |
Homework |
HW Quiz |
| 1.1 Functions and Their Graphs
| 1.1
| 1.1
|
| 1.2 Combining Functions; Shifting and Scaling Graphs
| 1.2
| 1.2
|
| 1.3 Trigonometric Functions
| 1.3
| 1.3
|
| 1.4 Graphing with Calculators and Computers
| 1.4
| 1.4
|
| Chapter 1 Test |
Chapter 2
Limits and Continuity
| Lessons |
Homework |
HW Quiz |
| 2.1 Rates of Change and Tangents to Curves
| 2.1
| 2.1
|
| 2.2 Limit of a Function and Limit Laws
| 2.2
| 2.2
|
| 2.3 One-Sided Limits
| 2.3
| 2.3
|
| 2.4 Continuity
| 2.4
| 2.4
|
| 2.5 Limits Involving Infinity Asymptotes of Graphs
| 2.5
| 2.5
|
| Chapter 2 Test |
Chapter 3
Differentiation
| Lessons |
Homework |
HW Quiz |
| 3.1 Tangents and the Derivative at a Point
| 3.1
| 3.1
|
| 3.2 The Derivative as a Function
| 3.2
| 3.2
|
| 3.3 Differentiation Rules
| 3.3
| 3.3
|
| 3.4 The Derivative as a Rate of Change
| 3.4
| 3.4
|
| 3.5 Derivatives of Trigonometric Functions
| 3.5
| 3.5
|
| 3.6 The Chain Rule
| 3.6
| 3.6
|
| 3.7 Implicit Differentiation
| 3.7
| 3.7
|
| 3.8 Related Rates
| 3.8
| 3.8
|
| 3.9 Linearization and Differentials
| 3.9
| 3.9
|
| Chapter 3 Test |
Chapter 4
Applications of Derivatives
| Lessons |
Homework |
HW Quiz |
| 4.1 Extreme Values of Functions
| 4.1
| 4.1
|
| 4.2 The Mean Value Theorem
| 4.2
| 4.2
|
| 4.3 Monotonic Functions and the First Derivative Test
| 4.3
| 4.3
|
| 4.4 Concavity and Curve Sketching
| 4.4
| 4.4
|
| 4.5 Applied Optimization
| 4.5
| 4.5
|
| 4.6 Newton's Method
| 4.6
| 4.6
|
| 4.7 Antiderivatives
| 4.7
| 4.7
|
| Chapter 4 Test |
Chapter 5
Integration
| Lessons |
Homework |
HW Quiz |
| 5.1 Area and Estimating with Finite Sums
| 5.1
| 5.1
|
| 5.2 Sigma Notation and Limits of Finite Sums
| 5.2
| 5.2
|
| 5.3 The Definite Integral
| 5.3
| 5.3
|
| 5.4 The Fundamental Theorem of Calculus
| 5.4
| 5.4
|
| 5.5 Indefinite Integrals and the Substitution Method
| 5.5
| 5.5
|
| 5.6 Substitution and Area Between Curves
| 5.6
| 5.6
|
| Chapter 5 Test |
Final for Calculus l
No comments:
Post a Comment