MATH 1001: Calculus Connections Lab
Effective date
September 2026
Description
This course is designed to strengthen student success in Calculus 1 (MATH 1100) through additional review, practice and support. Students are re-introduced to polynomial functions, rational functions, exponential and logarithmic functions and trigonometric functions to align with the introduction of related calculus concepts. Students will apply fundamental algebra and trigonometry concepts to solve basic differential calculus problems.
Year of study
1st Year Post-secondary
Prerequisites
Pre-Calculus 12 with a 'C' grade.
Course Learning Outcomes
Upon successful completion of this course, students will be able to:
- Solve problems involving equations of lines, rates of change and linear inequalities
- Analyze polynomial functions through factoring, determining zeros, end behavior, and solving associated equations and inequalities
- Analyze rational expressions/functions by determining their key features including domains, zeros, asymptotes, critical points, discontinuities, and solving associated equations and inequalities
- Construct inverse functions graphically and algebraically; apply properties of inverse functions to analyse the behaviour of functions, including exponential and logarithmic functions
- Perform complex symbolic calculations including factoring, simplification, and rationalization of expressions with polynomial and non-polynomial terms
- Apply trigonometric concepts to solve equations, prove identities, and evaluate trigonometric expressions
- Identify relevant mathematical concepts and techniques to apply in solving various calculus problems
Prior Learning Assessment & Recognition (PLAR)
None
Hours
Clinical, Lab, Rehearsal, Shop, Kitchen, Simulation, Studio: 30
Total Hours: 30
Instructional Strategies
This course consists of combination of theory, problem solving and exercises in both group and individual settings. Emphasis is given to applying pre-calculus concepts in a calculus context.
Grading System
Satisfactory/Unsatisfactory
Evaluation Plan
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Percentage
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Assessment activity
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Assignments
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Weekly assignments
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Course topics
- • Functions, inverse functions and compositions
• Simplification of algebraic expressions
• Polynomial and rational functions, equations, and inequalities
• Trigonometric expressions, identities, and functions; exponential/logarithmic functions
• Introduction to rate of change and limits
• Mathematical problem-solving techniques and learning strategies
• Series and convergence
Notes:
- Course contents and descriptions, offerings and schedules are subject to change without notice.
- Students are required to follow all College policies including ones that govern their educational experience at VCC. Policies are available on the VCC website at:
https://www.vcc.ca/about/governance--policies/policies/.
- To find out if there are existing transfer agreements for this course, visit the BC Transfer Guide at https://www.bctransferguide.ca.