MATH 100 Calculus I

School of University Arts and Sciences

MATH 100 Calculus I is a course designed to provide students with the background in calculus needed for further studies. This course includes a review of functions and graphs; limits; the derivative of algebraic, trigonometric, exponential and logarithmic functions; applications of the derivative including related rates, maxima, minima, velocity and acceleration; the definite integral; an introduction to elementary differential equations; and applications of integration including velocity, acceleration, areas, and growth and decay problems.

Prerequisites: Pre-Calculus 12 or MATH 60 with a minimum grade of 67%

Accessibility Services Notice

Students who would like an academic accommodation and who have a documented disability should contact Accessibility Services, if they have not already done so.

Transfer Agreements

Course to Course transfer – YesBlock Transfer – Yesbctransferguide.ca
Course Details
Total number of weeks15
Total Credits
Total Hours75
Typical hours per week breakdown
Lecture3
Lab (lab, field, computer)2

Learning Outcomes

Upon successful completion of this course, the learner will be able to:

  1. Calculate limits algebraically, using tables of values and L’Hôpital’s rule
  2. Calculate derivatives and integrals using their definitions
  3. Apply the rules of derivatives (e.g. chain, product, quotient) to calculate more complicated derivatives
  4. Solve problems such as optimization, related rates, and linear approximations using calculus
  5. Create a graph of a function using derivatives
  6. Apply the Fundamental Theorem of Calculus and the substitution rule to solve integration problems
  7. Determine the inverse of a given function and calculate derivatives of inverse functions
  8. Recognize and solve separable differential equations

Teaching and Learning Approach

The lectures are interactive presentations in which students are expected to participate by attempting problems and asking and answering questions. The labs are for small group practice, student presentations of solutions, individual exercises, and quizzes

Learning Resources

Thomas, Weir & Hass (2022), Thomas’ Calculus (15th ed.) Georgia Institute of Technology, GA (e-copy, hardcopy can be bought/ rented separately). Any scientific calculator.

Detailed Course Content, Topics, and Sequence Covered

1. Introduction and review of functions 2. Tangents and Limits 3. Continuity and Limits involving infinity 4. Definition of a Derivative; The Power Rule 5. Differentiation Rules, Trigonometric Differentiation, The Chain Rule 6. Implicit Differentiation, Related Rates, Min and Max Values 7. STUDY BREAK 8. MIDTERM TEST Mean Value Theorem, Curve Sketching, Optimization 9. Newton’s Method, Anti-derivatives, Areas, The Definite Derivative 10. The Fundamental Theorem of Calculus, Indefinite Integral, Substitution 11. Inverse, Logarithmic and Exponential Functions 12. Differential Equations, L’Hopital’s Rule 13. Inverse Trig Functions and Hyperbolic Functions 14. Review Week

Assessment

TitleLearning OutcomesValue
Assignments25%
Quizzes20%
Midterm15%
FinalCumulative40%
Total100%

Grading Table

Standard Academic and Career Programs Grading Table

Percentage Letter Grade GPA
90-100 A+ 4.33
85-89 A 4.00
80-84 A- 3.67
76-79 B+ 3.33
72-75 B 3.00
68-71 B- 2.67
64-67 C+ 2.33
60-63 C 2.00
55-59 C- 1.67
50-54 P 1.00
0-49 F 0.00
DNW 0.00

See the Academic Calendar for General Information including how to withdraw from course(s) and other regulations.

Disclaimer

Information contained in this course outline is correct at the time of publication. Content of the course is revised on an ongoing basis to ensure relevance to changing educational, employment and market needs. The instructor will endeavor to provide notice of changes to students as soon as possible. The instructor reserves the right to add or delete material from courses.