Loyola University Chicago

Mathematics and Statistics

MATH 161: Calculus I

Course Details
Credit Hours: 4
Prerequisites:

MATH 118 with a grade of C- or higher, or Math Placement Assessment

Description: A traditional introduction to differential and integral calculus. Functions, limits, continuity, differentiation, the Intermediate Value and Mean Value Theorems, curve sketching, optimization problems, related rates, definite and indefinite integrals, the Fundamental Theorem of Calculus, logarithm and exponential functions, applications to the natural and social sciences. (Students may not receive credit for both MATH 161 and MATH 131 without permission of the departmental chair.)

James Stewart. Calculus, Early Transcendentals (WebAssign eBook) 8th ed. Cengage Learning

Instructions for students to obtain the e-book and to use WebAssign:Once your instructor has uploaded the class roster to WebAssign, your personal class page will be activated. You will access it with your Loyola ID and password as detailed below. 

 

1.    Go to www.webassign.net/luc/login.html(Note the change in URL from previous semesters.)

2.    Use the LOG IN @ LOYOLA UNIVERSITY CHICAGObutton in the center of the page. The LOG IN button in the upper right-hand corner should NOTbe used.

3.    Selecting the Loyola login button will bring you to a standard Loyola login page, where you will enter your Loyola ID and password.

4.    Successful login should bring you to a WebAssign home screen from which you can access any of your courses having a WebAssign component.

5.    Select the desired course. If you have not already registered an access code for the course, a notice will be displayed with three choices:

o    Enter an access code (purchased at the Loyola Bookstore or from the Acadiem website),

o    Purchase an access code (online from WebAssign), or

o    Continue the free trial.

Select the appropriate choice to access the e-book and homework assignments.

6.    If you purchased an access code for the Larson text in a previous semester, you do not need to purchase another code.

7.    If at any time you run into technical difficulty using WebAssign, you can contact WebAssign directly by email or phone. Visit https://webassign.com/support/student-support/to get started.

Chapter 1: Functions and Models
  1.1 Four Ways to Represent a Function
  1.2 Mathematical Models: A Catalog of Essential Functions
  1.3 New Functions from Old Functions
  1.4 Exponential Functions and Logarithms
  1.5 Inverse Functions and Logarithms 
    Optional: Graphing with calculators, Mathematica, Wolfram Alpha (pp. xxiv-xxv)

Chapter 2: Limits and Derivatives
  2.1 The Tangent and Velocity Problems
  2.2 The Limit of a Function
  2.3 Calculating Limits Using the Limit Laws
  2.4 The Precise Definition of a Limit
  2.5 Continuity
  2.6 Limits at Infinity; Horizontal Asymptotes
  2.7 Derivatives and Rates of Change
  2.8 The Derivative as a Function

Chapter 3: Differentiation Rules
  3.1 Derivatives of Polynomials and Exponential Functions
  3.2  The Product and Quotient Rules
  3.3 Derivatives of Trigonometric Functions
  3.4 The Chain Rule
  3.5 Implicit Differentiation
  3.6 Derivatives of Logarithmic Functions
  3.7 Rates of Change in Natural and Social Sciences
  3.8 Exponential Growth and Decay
  3.9 Related Rates
  3.10 Linear Approximations and Differentials 
  3.11 Optional: Hyperbolic Functions

Chapter 4: Applications of Derivatives
  4.1 Maximum and Minimum Values
  4.2 The Mean Value Theorem
  4.3 How Derivatives Affect the Shape of a Graph
  4.4 Indeterminate Forms and l'Hospital's Rule
  4.5 Summary of Curve Sketching
  4.6 Optional: Graphing with Calculus and Calculators 
  4.7 Optimization Problems
  4.8 Optional: Newton's Method
  4.9 Antiderivatives

Chapter 5: Integrals
  5.1 Areas and Distances
  5.2 The Definite Integral
  5.3 The Fundamental Theorem of Calculus
  5.4 Indefinite Integrals and the Net Change Theorem
  5.5 The Substitution Rule

See Course Page for additional resources.