Continue the Learning... of Calculus I! (Ongoing)

In this course, students will be provided with an opportunity to refresh, review, or supplement their learning of calculus concepts. All knowledge levels are welcome. Every meeting will cover a lesson regarding some calculus topic and will consist of a mix of lecture, group work (working out related problems as a group), and independent student work (working out related problems individually). Staying true to the nature of ongoing courses, topics will be taught in a non-accumulating manner; previous lessons will not be pre-requisites for current lessons.

Spring, summer, fall, and winter breaks are included in the schedule. If for some reason whole weeks are missed by the teacher due to unexpected circumstances, these breaks may be used in part or wholly to make-up the coursework. In such a case, the schedule will be updated to reflect these changes.

The planned list of topics for the remainder of 2022 is as follows.

Week of June 12th:
-Indefinite Integrals and the Substitution Method
-Definite Integral Substitutions and the Area Between Curves

June 19th through July 30th:
***Summer Holiday***

The course topic list will restart from the beginning in the week of August 14th. Please see the fall schedule below:
Week of July 31st:
-Functions and Their Graphs
-Combining, Shifting, & Scaling Functions

Week of August 7th:
-Trigonometric Functions
-Rates of Change and Tangents to Curves

Week of August 14th:
-Limit of a Function and Limit Laws
-One-Sided Limits

Week of August 21st:
***Fall Break Pt. 1***

Week of August 28th:
-Continuity
-Limits Involving Infinity; Asymptotes of Graphs

Week of September 4th:
-Tangents and the Derivative at a Point
-The Derivative as a Function

Week of September 11th:
-Differentiation Rules Pt. 1
-Differentiation Rules Pt. 2

Week of September 18th:
-The Derivative as a Rate of Change
-Derivatives of Trigonometric Functions

Week of September 25th:
-The Chain Rule
-Implicit Differentiation

October 2nd through October 15th:
***Fall Break Pt. 2***

Week of October 16th:
-Related Rates
-Linearization and Differentials

Week of October 23rd:
-Extreme Values of Functions
-The Mean Value Theorem

Week of October 30th:
-Monotonic Functions and the First Derivative Test
-Concavity and Curve Sketching

Week of November 6th:
-Applied Optimization Pt. 1
-Applied Optimization Pt. 2

Week of November 13th:
-Antiderivatives
-Sigma Notation and Limits of Finite Sums

Week of November 20th:
-The Definite Integral
-The Fundamental Theorem of Calculus

Week of November 27th:
-Indefinite Integrals and the Substitution Method
-Definite Integral Substitutions and the Area Between Curves

December 4th, 2022 through January 14th, 2023:
***Winter Holiday***

The course topics will restart in 2023. The January-to-May topic schedule will be added at a later date.