# MATH 150/CALCULUS I

## 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).

3.6 SOLUTIONS

## Lecture Movies

 Chapter P 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 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

## SUPPLEMENTAL WORKSHEETS:

 Review P.1-P.3 precalculus rational expressions and equations trigonometry blank unit circle 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:

Exam 1 - Spring 2020

## 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

CALCULUS AND TRIG FORMULAS TO MEMORIZE

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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