Schedule

Summer term

Week 01
Monday – morning session
lecture Course preview and syllabus × ×
lecture Tangent lines, limits TB 2.1, TB 2.2 OS 2.1, OS 2.2
lecture Limit of a function TB 2.2, TB 2.3 OS 2.2, OS 2.5
lecture Left and Right Limits TB 2.4 OS 2.2
Monday – afternoon session
lecture Limits involving infinities, asymptotes TB 2.5 OS 4.6
lecture Limit laws TB 2.2 OS 2.3
tutorial PS
Wednesday – morning session
tutorialQuiz 1 & PS
lecture Continuity TB 2.6 OS 2.4
lecture Tangent lines, slopes, derivatives TB 3.1 OS 3.1
lecture Tangent lines, slopes, derivatives TB 3.2 OS 3.2
Wednesday – afternoon session
lecture Differentiation rules TB 3.3 OS 3.3
lecture Derivative as a rate of change TB 3.4 OS 3.4
tutorialPS
Week 02
Monday – Official Holiday
Wednesday – morning session
tutorialQuiz 2 & PS
lecture Trigonometric Derivatives TB 3.5 OS 3.5
lecture Chain Rule TB 3.6 OS 3.6
tutorialPS
Wednesday – afternoon session
lecture Derivative of Inverse Functions TB 3.8 OS 3.7
lecture Derivative of Inverse Trigonometric Functions TB 3.9 OS 3.7
tutorialPS
Week 03
Monday – morning session
tutorialQuiz 3 & PS
lecture Derivative of Implicit Functions TB 3.7 OS 3.8
lecture Exponential and Logarithmic Derivatives TB 3.3, TB 3.8 OS 3.9
tutorialPS
Monday – afternoon session
lecture Related Rates TB 3.10 OS 4.1
lecture Linear approximation and differentials TB 3.11 OS 4.2
tutorialPS
Wednesday – morning session
tutorialExam one
tutorialExam one
tutorialPS & solution
tutorialPS & solution
Wednesday – afternoon session
lecture Extrema of functions TB 4.1 OS 4.3
lecture Mean Value Theorem TB 4.2 OS 4.4
tutorialPS
Week 04
Monday – morning session
tutorialQuiz 4 & PS
lecture Monotonic functions and the first derivative TB 4.3 OS 4.5
lecture Concavity and the second derivative TB 4.4 OS 4.5
lecture Curve sketching TB 4.4 OS 4.5
Monday – afternoon session
tutorialPS
lecture L'Hôspital Rule TB 4.5 OS 4.8
lecture Applied Optimization TB 4.6 OS 4.7
Wednesday – morning session
tutorialQuiz 5 & PS
lecture Sigma notation TB 5.2 OS 5.1
lecture Approximating area under a curve TB 5.1 OS 5.1
lecture Riemann Sum TB 5.1, TB 5.2 OS 5.1
Wednesday – afternoon session
lecture Definite Integral TB 5.3 OS 5.2
lecture The Fundamental Theorem of Calculus TB 5.4 OS 5.3
tutorialPS
Week 05
Monday – morning session
tutorialQuiz 6 & PS
lecture The Net Change Theorem TB 5.4 OS 5.4
lecture Primitive functions TB 5.4 OS 5.4
lecture Integration by Substitution (indefinite integral) TB 5.5, TB 5.6 OS 5.5
Monday – afternoon session
lecture Integration by Substitution (Riemann integral) TB 5.5, TB 5.6 OS 5.5
lecture Integration involving exponential and logarithmic function TB 5.5, TB 5.6 OS 5.6, OS 5.7
tutorialPS
Wednesday – morning session
tutorialExam two
tutorialExam two
tutorialPS
lecture Area between curves TB 5.6 OS 6.1
Wednesday – afternoon session
lecture Volume by slicing TB 6.1 OS 6.2
tutorialPS
lecture Solids of revolution TB 6.1 OS 6.2
Week 06
Monday – morning session
tutorialQuiz 7 & PS
lecture Cylindrical Shells TB 6.2 OS 6.3
tutorialPS
lecture Arc Length TB 6.3 OS 6.4
Monday – afternoon session
lecture Surface Area of Solids of Revolution TB 6.4 OS 6.4
tutorialPS
tutorialPS
Final exam period
Fina exam
×date and time to be determined