MATH1431 - Calculus I
***This is a course guideline. Students should contact instructor for the updated information on current course syllabus, textbooks, and course content*** Text: CALCULUS, 9 th Edition, by Salas, Hille, Etgen, published by John Wiley & Son. Text is in electronic form . Prerequisite: Math 1330 (taken at UH, or transfer credit), or UH Math Placement Exam . If you took Pre-Calculus in high school, you should take the Placement Exam. All exams will be departmental exams given at CASA . Chapter 2 LIMITS AND CONTINUITY Homework Assignments Chapter 2.
Section 2.1 The Idea of Limit
Section 2.2 Definition of Limit
Section 2.3 Some Limit Theorems
Section 2.4 Continuity
Section 2.5 The Pinching Theorem; Trigonometric Limits
Section 2.6 Two Basic Theorems
Chapter 3 DIFFERENTIATION
Section 3.1 The Derivative
Section 3.2 Some Differentiation Formulas
Section 3.3 The d/dx Notation; Derivatives of Higher Order
Section 3.4 The Derivative as a Rate of change
Section 3.5 The Chain Rule
Section 3.6 Differentiating the Trigonometric Functions
Section 3.7 Implicit Differentiation; Rational Powers
Section 3.8 Rates of Change Per Unit Time
EXAM I
Section 3.9 Differentials; Newton-Raphson Approximation
Chapter 4 THE MEAN-VALUE THEOREM
Section 4.1 The Mean-Value Theorem
Section 4.2 Increasing and Decreasing Functions
Section 4.3 Local Extreme Values
Section 4.4 Endpoint and Absolute Extreme Values
Section 4.5 Some Max-Min Problems
Section 4.6 Concavity and Points of Inflection
Section 4.7 Vertical and Horizontal Asymptotes
Section 4.8 Some Curve Sketching
EXAM II
Chapter 5 INTEGRATION
Section 5.1 An Area Problem; A Speed-Distance Problem
Section 5.2 The Definite Integral of a Continuous Function
Section 5.3 The Function 
Section 5.4 The Fundamental Theorem of Integral Calculus
Section 5.5 Some Area Problems
Section 5.6 Indefinite Integrals
Section 5.7 The u -Substitution; Change of Variables
Section 5.8 Additional Properties of the Definite Integral
Section 5.9 Mean-Value Theorem for Integral; Average Values
Chapter 6 SOME APPLICATIONS OF THE INTEGRAL
Section 6.1 More on Area
Section 6.2 Volume by Parallel Cross Section; Discs and Washers
Section 6.3 Volume by the Shell Method
Section 6.4 The Centroid of a Region; Pappus's Theorem on Volumes
Section 6.5 The Notion of Work
EXAM III
Section 2.1: 1, 2, 3, 4, 5, 7, 8, 10, 13, 14, 15, 16, 19, 22, 27, 28, 31, 32, 34, 35, 38, 41, 42, 45, 46, 47
Section 2.2: 2, 3, 5, 6, 8, 9, 10, 12, 13, 15, 18, 21, 22, 24, 25, 35, 38, 41, 47, 59, 60.
Section 2.3: 1, 2, 5, 8, 11, 13, 17, 21, 22, 25, 26, 30, 34, 35, 40, 41, 45 - 51, 55.
Section 2.4: 1, 2, 4, 5, 6, 7, 9, 13, 15, 21, 22, 25, 29, 31, 32, 33, 35, 37, 41, 42, 46, 47, 53, 55.
Section 2.5: 3, 4, 5, 7, 13, 14, 16, 17, 19, 20, 27, 30, 31, 33, 41, 43, 47, 50.
Section 2.6: 1, 3, 4, 7, 8, 9, 10, 12, 13, 19, 21, 23 - 34, 37, 39.
Chapter 3.
Section 3.1: 1, 2, 5, 6, 9, 10, 11, 13, 14, 17, 20, 21, 23, 26, 28, 29, 31, 33, 34, 35, 38, 40, 43, 47, 48, 55, 56.
Section 3.2: 3, 4, 6, 8, 9, 11, 16, 17, 22, 23, 27, 30, 31, 32, 35, 37, 39, 41, 43, 44, 45, 47, 49, 51, 53, 56, 63.
Section 3.3: 1, 2, 6, 9, 10, 13, 16, 19, 24, 27, 29, 30, 33, 37, 38, 39, 40, 45, 48, 49, 53, 54, 59.
Section 3.4: 1, 3, 7, 8,13, 15, 17, 22, 29, 30, 31, 32, 37, 40, 45, 48, 53, 55, 65.
Section 3.5: 3, 6, 7, 9, 10, 17, 21, 22, 25, 28, 29, 31, 34, 37, 40, 43, 45, 47, 65, 67.
Section 3.6: 3, 4, 7, 11, 19, 21, 22, 23, 25, 29, 32, 35, 39, 41, 44, 53, 54, 58, 63, 65, 67, 71, 72.
Section 3.7: 2, 5, 7, 9, 10, 11, 13, 16, 17, 23, 25, 27, 29, 35, 36, 40, 42, 43, 47, 57, 58.
Section 3.8: 3, 6, 7, 9, 11, 15, 16, 17, 21, 22, 25, 26, 28, 31, 32, 33.
Section 3.9: 3, 5, 6, 9, 11, 19, 20, 21, 23, 27, 30, 33.
Chapter 4.
Section 4.1: 2, 3, 4, 6, 7, 9, 12, 13, 15, 21, 22, 24, 25, 30, 33, 34, 47, 48.
Section 4.2: 1, 2, 5, 6, 10, 11, 14, 19, 21, 25, 27, 31, 32, 37, 39, 41, 43, 45, 46, 53, 54.
Section 4.3: 1, 2, 4, 5, 8, 10, 11, 15, 20, 21, 23, 25, 27, 32, 34, 36, 37.
Section 4.4: 3, 4, 5, 7, 9, 10, 11, 15, 18, 19, 22, 25, 27, 31, 33, 39, 41, 42.
Section 4.5: 3, 4, 6, 7, 8, 9, 11, 13, 14, 20, 23, 24, 27, 30, 33, 35, 39, 41, 43, 51, 52, 53.
Section 4.6: 1, 2, 5, 7, 8, 9, 12, 15, 17, 19, 27, 29, 30, 31, 33, 34, 38, 39, 41, 43, 45.
Section 4.7: 1, 2, 3, 5, 6, 7, 8, 13, 15, 19, 21, 23, 25, 28, 30, 39, 41, 43, 44.
Section 4.8: 3, 5, 6, 8, 9, 13, 19, 24, 29, 33, 37, 41, 51, 52, 55
Chapter 5.
Section 5.2: 1, 4, 5, 7, 9, 11, 15, 17, 20, 21, 22, 25, 26, 27 - 32.
Section 5.3: 1, 2, 3, 5, 7, 8, 11, 13, 15, 17, 18, 21, 23, 24, 25, 27, 29, 31.
Section 5.4: 1, 3, 4, 5, 8, 9, 13, 14, 19, 21, 23, 25, 26, 31, 35, 36, 39, 41, 45, 47, 49, 51, 55, 59.
Section 5.5: 1, 4, 7, 9, 11, 13, 16, 17, 22, 23, 27, 29, 33, 35.
Section 5.6: 1, 4, 7, 8, 12, 15, 18, 19, 23, 27, 30, 33, 37, 40, 41.
Section 5.7: 1, 3, 8, 9, 10, 15, 18, 21, 22, 25, 27, 28, 31, 33, 34, 39, 42, 45, 49, 51, 55, 60, 61, 63, 64, 67, 71, 74, 77.
Section 5.8: 1, 2, 3, 7 - 15, 17, 19, 21, 25, 28, 29, 33.
Section 5.9: 3, 5, 7, 9, 12, 13, 14, 19, 20, 25, 27
Chapter 6.
Section 6.1: 1, 3, 5, 6, 11, 13, 16, 19, 23, 27, 31, 34, 35.
Section 6.2: 1, 4, 5, 8, 11, 13, 19, 21, 22, 24, 27, 29, 33, 35, 41, 43, 45, 46, 47, 53, 59.
Section 6.3: 2, 5, 6, 9, 11, 15, 17, 23, 25, 26, 27, 30, 37, 39, 46.
Section 6.4: 1, 3, 6, 8, 10, 11, 15, 21, 25, 28, 29, 30, 33.
Section 6.5: 1, 3, 5, 7, 9, 12, 13, 14, 19, 21, 22, 24, 33, 35, 36
