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 it. To do so, please
contact Enrolment Services at firstname.lastname@example.org or
1.800.663.9711 (toll-free in Canada), 250.852.7000 (Kamloops, BC), and 1.250.852.7000
- Stewart, J. Single Variable Calculus: Early Transcendentals. 8th edition. Boston, MA:
Cengage Learning (This is referred to as SVC in the course.), 2016.
Type: Textbook: ISBN:
- Anders, D., Cole, J.A., & Drucker, D. Student Solutions Manual for Stewart's Single
Variable Calculus: Early Transcendentals. 8th edition. Boston, MA: Cengage Learning, 2016.
Type: Textbook: ISBN: 978-1-305-27242-2
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 email@example.com with any questions about this.
In order to successfully complete this course, students must obtain at least 50% on the final
mandatory examination and 50% overall.
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 firstname.lastname@example.org with any
|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.