This course emphasizes applications rather than theory. Students begin with a review of
algebra, to ensure the necessary mathematical skills to succeed in the course, and before they
are introduced to limits and continuity. Students then progress to differential and integral
calculus for polynomial, exponential and logarithmic functions and their applications to curve
sketching, maxima, and minima. Students apply these mathematical tools to a variety of
'real-world' problems, including medical issues, epidemics, carbon dating, memory and
- Compute the first and second derivatives of a large class of functions and apply
differentiation techniques to the solution of simple problems in the biological and social
- Use the theory of maxima and minima to find optimal solutions to problems in the biological
and social sciences.
- Use the properties of exponential and logarithmic functions to solve applied problems.
- Find the indefinite and definite integrals for a variety of functions Find the area under a
curve and the area of the region enclosed by two graphs.
- Determine whether an improper integral converges or diverges, and if it converges, find its
- Limits and continuity, average rate of change, differentiation using limits
- Sum-Difference Rule, Power Rule, rates of change, Product and Quotient Rules, Extended Power
Rule, Chain Rule, higher-order derivatives
- The shape of a graph, derivatives and graph sketching, maxima and minima with applications,
differentials, implicit differentiation
- Exponential and logarithmic functions, natural logarithmic function, applications to biology,
anthropology, psychology, and sociology
- Antiderivative, area, fundamental theorem of calculus, definite integral
- Area between curves, integration techniques (substitution and parts), application of
integrals, improper integrals
Required text and materials
The following materials are required for this course:
- Bittinger, M. L., Ellenbogen, D. J., & Surgent, S. A. (2019). Calculus and its
applications plus MyLab Math with Pearson eText (12th ed.). Boston, MA: Pearson.
Textbook. ISBN-13: 9780135308035
- Dubriske, D. (2019). Student’s solutions manual (12th ed.). For Bittinger, M. L.,
Ellenbogen, D. J., & Surgent, S. A. (2019). Calculus and its applications (12th ed.).
Boston, MA: Pearson.
Type: Textbook: ISBN-13: 9780135165683
A good-quality scientific calculator with scientific notation and logarithmic, exponential, and
trigonometric functions (including inverse functions) is required.
Note: Only a scientific calculator will be allowed for the final exam.
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.
|Assignment 1: Limits and Differentiation
|Assignment 2: Differentiation Techniques
|Assignment 3: Exponential and Logarithmic Functions
|Assignment 4: Applications of Differentiation
|Assignment 5: Integration Techniques and Applications
|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.