Since 2012 this blog has been written with teachers in mind, hence the title “Teaching Calculus.” I hope will read any of the post and find them helpful. Please share any of the posts that you think will be helpful with them.
These post are especially for students.
These post provide a brief, non-technical introduction for students about what they are about to learn and why. I hope they provide a thorough-line so students get an idea of what the topics are about. The units and topics from the Course and Exam Description are given with each link.
Please share the link with your students before each topic.
Why Limits? Unit 1 – all
Why Definitions? Throughout the course
Why Infinity? Unit 1 topics 1.3, 1.14, 1.15 and others
Why Continuity? Unit 1 topics 1-10 to 1.16, Unit 2 topic 2.4
Why Theorems? Throughout the course
Why the Derivative? Unit 2 topics 2.1 to 2.4
Why Formulas for the Derivative? Unit 2 topics 2.5 to 2.7
Why Radian Measure? Unit 2 topic 2.7
Why Techniques for Differentiation? Unit 3 topics 2.8 to 2.10 and Unit 3 all
Why linear Motion? Unit 4 topics 4.1 and 4.2
Why Related Rates? Unit 4 topics 4.3 to 4.5
Why Approximate? Unit 4 Section 4.6, Unit 10 topics 10.2 and 10.10
Why L’Hospital’s Rule? Unit 4 Topic 7
Why Analytic Applications? Unit 5 topics 5.1 thru 5.9
Why Existence Theorems? Throughout the course
Why Optimization? Unit 5 topics 11 and 12
Why Riemann Sums? Units 6 topics 6. 1 and 6.2
Why the FTC? Unit 6 topics 6.3 thru 6.7
Why Antiderivatives? Unit topics 6.8 thru 6.14
Why Differential Equations? Unit 7
Why Applications? Unit 8
Why Parametric and Vector-valued Functions? Unit 9, topics 9.1 to 9.6
Why Polar Equations? Unit 9, topics 9.7 to 9.9
Why Power Series? Unit 10, topics 10.1, 10.2, 10.11, 10.13 thru 10.15
Why Convergence Tests? Unit 10, topics 10.2 to 10.9
Teaching Calculus 