**Credit Weight:** 0.5 Corequisite(s): Mathematics 1077 **Description**: For students without Grade 12 U Calculus and Vectors or equivalent. Limits of functions and their properties; limits of exponential, logarithmic, and trigonometric functions; indeterminate and infinite limits; continuity of functions; the definition of derivatives; equations of tangent lines; differentiation of the elementary functions; differentiation rules; applications of differential calculus including optimization, related rates, and curve sketching; anti-derivatives, the fundamental theorem of calculus, and area problems. **Offering:** 0-0; 3-2 **Notes:** Students who have previous credit in Mathematics 1052 – Introductory Calculus I and Mathematics 1072 – Introductory Calculus II, can be given credit for Mathematics 1077 – Sequences and Series and Mathematics 1078 – Elementary Calculus. Students who have previous credit in Mathematics 1052 but not Mathematics 1072 cannot be given credit for either Mathematics 1077 or Mathematics 1078.