MATH 150-2332 AND 3041

INSTRUCTOR INFORMATION:

 

Shannon Myers
Phone: (760) 757-2121 ext. 6306
email
web page: www.mathchick.net

COURSE DESCRIPTION:

This course is the first in a three-semester calculus sequence designed for mathematics, science, and engineering majors. Topics include limits and continuity; differentiation of algebraic, trigonometric and exponential functions and their inverses; integration and the Fundamental Theorem of Calculus; and applications of differentiation and integration. NOTE: A
graphics calculator is required. Please attend the first class meeting before purchasing. UC credit limitation: Credit for MATH 115 or 150.

STUDENT LEARNING OUTCOME

Upon successful completion of Math 150, the student should be able to:

1. For a given set of problems the student will demonstrate quantitative reasoning by developing a problem-solving strategy, performing appropriate analysis and computation, and critically assessing the meaning of the conclusion or outcome.

PREREQUISITE:

MATH 126 and MATH 131, or MATH 130 and MATH 135, with a grade of “C” or better, or a qualifying score on the Math Competency Exam (MCE).

GUIDED NOTEBOOK

SYLLABUS

review--p.1-p.3

3.6 SOLUTIONS

ANNOTATED GUIDED NOTEBOOK

Lecture Movies

Chapter P

P.1-P.3: Preparation for Calculus

Chapter 1

1.1: Functions
1.2: Finding Limits Graphically and Numerically
1.3: Evaluating Limits Analytically
1.4: Continuity and One-Sided Limits
1.5: Infinite Limits

Chapter 2

2.1 The Derivative and the Tangent Line Problem
2.2:Basic Differentiation Rules and Rates of Change
2.3: Product and Quotient Rules, and Higher-Order Derivatives
2.4: The Chain Rule
2.5: Implicit Differentiation
2.6: Related Rates

Chapter 3

3.1: Extrema on an Interval
3.2 Rolles Theorem and the Mean Value Theorem
3.3: Increasing and Decreasing Functions and the First Derivative Test
3.4: Concavity and the Second Derivative Test
3.5: Limits at Infinity
3.6: A Summary of Curve Sketching
3.7: Optimization Problems
3.9: Differentials


Chapter 4

4.1: Antiderivatives and Indefinite Integration
4.2: Area
4.3: Riemann Sums and Definite Integrals
4.4: The Fundamental Theorem of Calculus
4.5 Integration by Substitution


Chapter 5

5.1: The Natural Logarithmic Function: Differentiation
5.2: The Natural Logarithmic Function: Integration
5.3: Inverse Functions
5.4: Exponential Functions: Differentiation and Integration
5.5: Bases other than e and Applications
5.6: Inverse Trigonometric Functions: Differentiation
5.7: Inverse Trigonometric Functions: Integration

Chapter 7

7.1: Area of a Region Between Two Curves
7.2: Volume: The Disk Method

SUPPLEMENTAL WORKSHEETS:

Review
P.1-P.3
precalculus
rational expressions and equations

trigonometry
blank unit circle

Chapter 4
integral review (ch. 4)
exam 4 practice

Chapter 1
exam 1 practice
Chapter 5

Chapter 2
2.2-2.4 practice
exam 2 practice

Chapter 7

Chapter 3
exam 3 practice
curve sketching table/pdf

Final Exam Review
Chapter 5 review exercises
1-91 odd
practice final
derivative review/answers
integral review/answers
application review
/answers

 

SOLUTIONS:

CURRENT EXAMS

EXAM 1/CH. 1, SECTION 2.1

EXAM 2/PART 1
EXAM 2/PART 2

EXAM 3/3.7, 3.9, 4.1-4.5 

PREVIOUS EXAMS

Exam 1/CH. 1, 2.1 blank

EXAM 1/CH. 1, 2.1 key

EXAM 3/CH. 3.7, 3.9, 4.1-4.5

EXAM 3/CH. 3.7, 3.9, 4.1-4.5 KEY

EXAM 2
Part 1/3.1, 3.3-3.6 blank
Part 1
/3.1, 3.3-3.6 key
Part 2/2.2-2.6, 3.2 blank
Part 2/2.2-2.6, 3.2 key

 

MISCELLANEOUS

SELECT QUESTIONS FROM PRECALCULUS PACKET

OPTIMIZATION MOVIE

Math Girl Differentials Cartoon

Example of a Trig Equation With a Multiple Angle

Tricky Tangent Line Problem

HANDOUTS:

blank unit circle

curve sketching table

LINEAR REGRESSION

CALCULUS & TRIG FORMULAS

USEFUL LINKS:

ONLINE TUTORING (RICARDO HAUSZ)

PRECALCULUS WEB PAGE

TI CALCULATOR STEP-BY-STEP TUTORIALS

VISUAL CALCULUS

 

PERFORMANCE OBJECTIVES


Upon successful completion of this course, students will be able to do the following:

1. Apply the definition of "limit," both finite and infinite, and compute limits of functions
2. Given a list of algebraic and transcendental functions, compute, with no references, the derivative or indefinite integral of each
3. Solve problems involving tangent lines, extrema, or velocity
4. Solve related rate and optimization problems
5. Sketch and describe the behavior of a curve using calculus techniques
6. Solve application problems involving integrals.


 

 

 

 

 

 

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