MATH9B - First Year of Calculus (2024 Winter) 

The main goal of the notes below is to help students with certain specific course topics. The section numbers correspond to those in the textbook APEX Calculus.

Auxiliary notes:

Section 5.1 - Applications of anti-derivatives to differential equations with second derivative

Section 5.2 - Area of domains consisting of triangles

Section 5.3 - Passing to the limit in Riemann sums

Section 5.4 - Finding averages of quantities

Section 6.1 - Substitution in integration

Section 6.2 - Integration by parts

Section 6.2 - Combining Integration by parts and Substitution

Section 6.3 - Trigonometric integrals

Section 6.4 - Trigonometric substitution

Section 6.5 - Partial Fraction Decomposition

Section 6.6 - Hyperbolic vs Trigonometric substitution

Section 6.8 - Comparison Principle

Section 7.1 - Area between intersecting curves