MATH 1141: Calculus I
This is considered a first course in calculus, primarily for students intending to continue to advanced courses in calculus, and mathematics in general. Students conduct a detailed study of differential calculus and its applications, and are introduced to antiderivatives.
Learning outcomes
- Know what a function is and know the four ways to represent a function.
- Appreciate how functions can be used to model situations such as population growth, tides, vibrating springs, and gas emissions.
- Make new functions from old by transforming, combining, and composing.
- Know when a function has an inverse and how to find the inverse.
- Know and sketch the members of the catalogue of essential functions.
- Understand the concepts of a limit and one-sided limits, continuity, and differentiability.
- Determine limits numerically, algebraically, and from a graph.
- Determine limits of indeterminate forms, using l'Hospital's Rule.
- Understand the concepts of continuity and differentiability and the relationship between them.
- Know the differentiation formulas for polynomial, rational, trigonometric, inverse trigono¬metric, exponential, and logarithmic functions.
- Apply the rules and techniques of differentiation to any combination of functions.
- Apply the derivative to solve a variety of problems (related rates problems, optimization problems, curve sketching).
- Use the derivative to find the linear approximation of a function.
- Use Newton's method to find the roots of a function.
- Understand the concept of the antiderivative, and find antiderivatives.
Course topics
Unit 1: Function and Models
Unit 2: Limits and Derivatives
Unit 3: Differentiation Rules
Unit 4: Applications of Differentiation I
Unit 5: Applications of Differnentiaion II
Required text and materials
The following materials are required for this course:
-
Stewart, J. (2021). Single Variable Calculus: Early Transcendentals + Student Solutions Manual (9th ed.). Belmont, CA: Thomson Brooks/Cole.
Type: Textbook Bundle. ISBN: 9780357717127Note: The previous 8th edition textbook + SSM is acceptable
Additional requirements
A good-quality scientific calculator is required.
Assessments
Please be aware that should your course have a final exam, you are responsible for the fee to the online proctoring service, ProctorU, or to the in-person approved Testing Centre. Please contact exams@tru.ca with any questions about this.
To successfully complete this course, students must achieve a passing grade of 50% or higher on the overall course and 50% or higher on the mandatory Final Exam.
Note: The final exam for this course is only available as a paper exam and must be taken in person at an approved Testing Centre. Please email exams@tru.ca with any questions.
| Assignment 1 | 10% |
| Assignment 2 | 10% |
| Assignment 3 | 10% |
| Assignment 4 | 10% |
| Assignment 5 | 10% |
| Final Exam (mandatory) | 50% |
| Total | 100% |
Open Learning Faculty Member Information
An Open Learning Faculty Member is available to assist students. Students will receive the necessary contact information at the start of the course.
