This course is intended for students who have already completed a Calculus I course in
differential and integral calculus, and need to further develop their skills in this subject.
- Distinguish between the indefinite integral and the definite integral.
- Define the definite integral as a limit of Riemann sums and interpret it as area.
- Explain the Fundamental Theorem of Calculus, showing how differentiation and integration are
- Evaluate an integral by the method of substitution.
- Use integrals to calculate areas between curves, volumes, work, and average value of a
- Evaluate integrals, using the techniques of integration by parts, using trigonometric
identities and trigonometric substitution, and using partial fractions.
- Use the Midpoint Rule, Simpson's Rule, and the Trapezoidal Rule to find the approximate
value of certain definite integrals.
- Evaluate the two types of improper integrals.
- Solve separable first-order differential equations.
- Use integrals to find arc length and area of a surface of revolution.
- Use integrals in applications to economics and biology.
- Determine whether or not a sequence of real numbers converges.
- Test a series for convergence or divergence, using the integral, ratio, root, and comparison
- Test an alternating series for absolute convergence, conditional convergence, or
- Determine the radius and interval of convergence of a power series.
Unit 1: Integrals
Unit 2: Applications of Integration
Unit 3: Techniques of Integration
Unit 4: Further Applications of Integration
Unit 5: Sequences and Series
Required text and materials
The following textbook would have been purchased in MATH 1141. Students who did not take MATH
1141 and/or don't already own the required textbook, will need to purchase them. To do so, please
contact Enrolment Services at email@example.com or
1.800.663.9711 (toll-free in Canada), 250.852.7000 (Kamloops, BC), and 1.250.852.7000
Stewart, J. (2021). Single Variable Calculus: Early Transcendentals + Student Solutions
Manual (9th ed.). Belmont, CA: Thomson Brooks/Cole.
Type: Textbook Bundle. ISBN:
Note: The previous 8th edition textbook + SSM is acceptable
A good-quality scientific calculator is required.
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 firstname.lastname@example.org 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 final mandatory 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 email@example.com
with any questions.
|Final Exam (mandatory)
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.