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Mr. James Uy - Math (Algebra 1 and Calculus/AP Calculus AB) |
| Home | Teacher | Algebra 1-9 Course Description | Calculus/AP Calculus AB Course Description | Algebra 1-9 Course Syllabus | Email |
Calculus Course Syllabus |
|
Date |
Section |
Topics |
Hwk |
Homework Set |
|
11/17/08 |
1-1, 1-2 |
X The Concept of Instantaneous Rate, X Rate of Change by Equation, Graph or Table |
1 |
1-1 1, 2 1-2 All Q, 3, 9, 11, 14, 15, 24, 27 |
|
11/18/08 |
1-3, 1-4 |
X One Type of Integral of a Function, X Definite Integrals by Trapezoids, from Equations and Data |
2 |
1-3 All Q, 3, 7, 9 1-4 All Q, 1, 3, 7, 9 |
|
11/19/08 |
1-6 |
X Chapter Review and Test |
3 |
1-6 R1, R2, R3, R4, C3, T5, T6, T17 |
|
11/20/08 |
2-1, 2-2 |
X Numerical Approach to the Definition of a Limit X Graphical and
Algebraic Approaches to the Definition of Limit |
4 |
2-1 1, 2, 3 2-2 All Q, 1, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25 |
|
11/21/08 |
2-3, 2-4 |
X The Limit Theorems X Continuity and Discontinuity |
5 |
2-3 All Q, 1, 3, 5, 7, 11, 17, 21, 23 2-4 All Q, 1, 3, 8, 13, 23, 28, 33, 43, 48, 53, 63, 68 |
|
11/24/08 |
2-5, 2-6 |
X Limits Involving Infinity X The Intermediate Value Theorem and Its Consequences |
6 |
2-5 All Q, 1, 3, 5, 7, 12 2-6 All Q, 1, 4, 5, 9, 13 |
|
11/25/08 |
2-7 |
X Chapter Review and Test |
7 |
2-7 R1, R2, R3, R4, R5, R6, C3 |
|
11/26/08 |
3-1 |
X Graphical Interpretation of Derivative |
8 |
3-1 1, 2, 3, 4,
5, 6, 7 |
|
12/1/09 |
|
Test - Chapters 1 & 2
|
9 |
3-2 All Q, 1, 2, 3, 7, 9, 14, 15, 17, 19 3-3 All Q, 1,
5, 7, 9, 13, 14 |
|
12/2/08 |
3-2, 3-3 |
X Difference
Quotients and One Definition of Derivative
X Derivative Functions, Numerically and Graphically |
10 |
3-4 All Q, 1, 3, 5, 13, 15, 21, 23, 24, 25, 31, 33, 39 |
|
Date |
Section |
Topics |
Hwk |
Homework Set |
|
12/3/08 |
3-4 |
X Derivative of the Power Function and Another Definition of Derivative |
11 |
3-5 All Q, 1, 3, 5, 7, 9, 11, 15, 17, 19 |
|
12/4/08 |
3-5 |
X Displacement, Velocity, and Acceleration |
12 |
3-6 1, 2, 3, 4, 5, 6, 7 |
|
12/5/08 |
3-6 |
X Introduction to Sine, Cosine, and Composite Functions |
13 |
3-7 All Q, 1, 5, 9, 15, 19, 23, 25 |
|
12/8/08 |
3-7 |
X Derivatives and Composite Functions - The Chain Rule |
14 |
3-7 3, 7, 11, 13, 17, 21, 27, 29 |
|
12/9/08 |
3-7 |
X Derivatives and Composite Functions - The Chain Rule |
15 |
3-8 All Q, 1, 3, 7, 11, 13 |
|
12/10/08 |
3-8 |
X Proof and Application of Sine and
Cosine Derivatives |
16 |
3-9 All Q, 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 23, 27, 29 |
|
12/11/08 |
3-9 |
X Exponential and Logarithmic Functions |
17 |
3-10 R1, R2, R5, R8, R9 |
|
12/12/08 |
3-10 |
X Chapter Review and Test |
|
|
|
12/15/08 |
|
Test - Chapter 3
|
18 |
4-1 1, 2, 3, 4, 5, 6 4-2 All Q, 1, 5, 9, 13, 17, 23, 27 |
|
12/16/08 |
4-1, 4-2 |
X Combinations
of Two Functions X Derivative of a Product of Two Functions |
19 |
4-3 All Q, 5, 9, 11, 15, 17, 19, 23, 27 |
|
12/17/08 |
4-3 |
X Derivative of a Quotient of Two Functions |
20 |
4-2 15, 19, 21, 35 4-3 1, 3, 13, 21, 25, 30, 32 |
|
12/18/08 |
4-2, 4-3 |
X Derivative of
a Product of Two Functions X Derivative of a Quotient of Two Functions |
21 |
4-4 All Q, 1, 3, 5, 7, 13, 19, 21, 25, 27, 33, 35 |
|
12/19/08 |
4-4 |
X Derivatives of the Other Trigonometric Functions |
22 |
4-5 All Q, 4, 5, 9, 17, 21, 23, 25, 29 |
|
Date |
Section |
Topics |
Hwk |
Homework Set |
|
1/5/09 |
4-5 |
X Derivatives of Inverse Trigonometric Functions |
23 |
4-6 All Q, 1, 3, 5, 7, 11, 15, 19, 21, 27, 29, 31 4-7 All Q, 1, 5, 9, 11 |
|
1/6/09 |
4-6, 4-7 |
X Differentiability and Continuity X Derivative of a Parametric Function |
24 |
4-8 All Q, 3, 7, 9, 15, 17, 19, 21, 23, 25 |
|
1/7/09 |
4-8 |
X Graphs and Derivatives of Implicit Relations |
25 |
4-9 All Q, 1, 7, 11, 13 |
|
1/8/09 |
4-9 |
X Related Rates |
26 |
4-10 All Q, R5,
R6, R7, R9 |
|
1/9/09 |
4-10 |
X Chapter
Review and Test |
|
|
|
1/12/09 |
|
TEST -
CHAPTER 4 |
27 |
5-1 1, 2, 3, 4, 5, 6 5-2 All Q, 1, 5, 7, 15, 17, 23, 25, 31, 33, 39 |
|
1/13/09 |
5-1, 5-2 |
X A Definite
Integral Problem X Linear Approximations and Differentials |
28 |
5-3 All Q, 1, 7, 11, 15, 17, 25, 33, 37 |
|
1/14/09 |
5-3 |
X Formal Definition of Antiderivative and Indefinite Integral |
29 |
5-4 All Q, 1, 3, 5, 7, 9, 13 |
|
1/15/09 |
5-4 |
X Riemann Sums and the Definition of Definite Integral |
30 |
5-5 All Q, 3, 5, 7, 9, 11, 15, 21, 25, 29 |
|
1/16/09 |
5-5 |
X The Mean Value Theorem and Rolle’s Theorem |
31 |
5-6 All Q, 1, 7, 8 5-7 All Q, 5, 11, 13, 17, 19, 25, 29, 33, 37 |
|
1/20/09 |
5-6, 5-7 |
X The Fundamental Theorem of Calculus X Definite Integral Properties and Practice |
32 |
5-8 All Q, 1, 5, 9, 11, 15, 17, 25, 27 |
|
1/21/09 |
5-8 |
X Definite
Integrals Applied to Area and Other Problems |
33 |
5-9 All Q, 1, 3, 5, 7, 9, 11 |
|
1/22/09 |
5-9 |
X Volume of a Solid
by Plane Slicing |
34 |
5-9 15, 17, 19, 25, 29 |
|
Date |
Section |
Topics |
Hwk |
Homework Set |
|
1/23/09 |
5-9 |
X Volume of a Solid
by Plane Slicing |
35 |
5-10 All Q, 1, 3, 7, 11, 13 |
|
1/26/09 |
5-10 |
X Definite Integrals
Numerically by Grapher and by Simpson’s Rule |
36 |
5-11 R1, R7, R8, R9 |
|
1/27/09 |
5-11 |
X Chapter
Review and Test |
|
|
|
1/28/09 |
|
TEST –
CHAPTER 5 |
37 |
6-1 1, 2, 3, 4 6-2 All Q, 1, 3, 5, 7, 15, 17, 25, 29, 31, 37, 45, 49, 57 |
|
1/29/09 |
6-1, 6-2 |
X Integral of the Reciprocal Function: A Population Growth Problem X Antiderivative of the Reciprocal Function and Another Form of the Fundamental Theorem |
38 |
6-3 All Q, 1, 3, 5, 15, 17, 19, 23, 25, 27 |
|
2/2/09 |
6-3 |
X The Uniqueness Theorem and Properties of Logarithmic Functions |
39 |
6-4 All Q, 1, 3, 7 thru 59 odd |
|
2/3/09 |
6-4 |
X The Number e, Exponential Functions and Logarithmic Differentiation |
40 |
6-5 All Q, 1, 11 thru 29 odd |
|
2/4/09 |
6-5 |
X Limits of Indeterminate Forms: l’Hospital’s Rule |
41 |
6-6 1 thru 25 odd, 57 thru 71 odd, 81, 83 |
|
2/5/09 |
6-6 |
X Derivative
and Integral Practice for Transcendental Functions |
42 |
6-6 27 thru 55 odd, 73 thru 79 odd, 85, 87 |
|
2/9/09 |
6-6 |
X Derivative
and Integral Practice for Transcendental Functions |
43 |
6-7 R1, R2, R4, R6 |
|
2/10/09 |
6-7 |
X Chapter Review
and Test |
|
|
|
2/11/09 |
|
TEST –
CHAPTER 6 |
44 |
7-1 1, 2, 3, 4, 5, 6 7-2 All Q, 1, 3, 7, 9 |
|
Date |
Section |
Topics |
Hwk |
Homework Set |
|
2/12/09 2/13/09 |
7-1, 7-2 |
X Direct Proportion Property of Exponential Functions X Exponential
Growth and Decay |
45 |
7-3 All Q, 1, 3, 7, 9 |
|
2/17/09 |
7-3 |
X Other
Differential Equations for Real-World Applications |
46 |
7-4 All Q, 1,
3, 5, 11, 13 |
|
2/18/09 |
7-4 |
X Graphical Solution of Differential Equations by Using Slope Fields |
47 |
7-5 All Q, 1, 3, 5, 9, 11 |
|
2/19/09 |
7-5 |
X Numerical
Solution of Differential Equations by Using Euler’s Method |
48 |
7-6 All Q, 1, 9 thru 23 all |
|
2/20/09 |
7-6 |
X The Logistic
Function and Predator-Prey Population Problems |
49 |
7-7 R1, R2, R6 |
|
2/23/09 |
7-7 |
X Chapter
Review and Test |
50 |
7-8 1 thru 24 |
|
2/24/09 |
7-8 |
X Cumulative
Review: Chapters 1-7 |
|
7-8 25 thru 46 |
|
2/25/09 2/26/09 |
|
Practice
& Final Exam |
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