Calculus

HCC Syllabus

Calculus Policies

Portfolio Instructions

Derivative & Integration Rules

Final Project: Using Equation Editor & Sharing Files Video

2023-2024 School Year

Techniques of Integration

Assignment Sheet

Journal

Class Notes Wed., Apr. 17–Integration with Partial Fractions
     Integration with Partial Fractions Video
Class Notes Thurs., Apr. 11–Trig Substitution
     Trig Substituion Video
Class Notes Tues., Apr. 9–Trig Integrals
     Trig Integrals Video
Class Notes Fri., Apr. 5–Integration by Parts
     Integration by Parts Video

Applications of Integration

Assignment Sheet

Journal

Class Notes Thurs., Mar. 28–Applications of Integration Review
     Applications of Integration Review Video
Class Notes Tues., Mar. 26–Fluid Force & Hyperbolic Functions
     Fluid Force & Hyperbolic Functions Video
Class Notes Fri., Mar. 22–Work
     Work Video
Class Notes Wed., Mar. 20–Differential Equations (Motion & Business)
     Differential Equations Video (Motion & Business Appl.)

Area & Volume

Assignment Sheet

Journal

Class Notes Fri., Mar. 1–Area & Volume Review
     Area & Volume Review Video
Class Notes Wed., Feb. 28–Length of Curve & Surface Area
     Length of Curve & Surface Area Video
Class Notes Mon., Feb. 26–Shell Method
     Volume 3: Shell Method Video
Class Notes Thurs., Feb. 22–Volume 2: More Disk Method & Slicing
     Volume 2: More Disk Method & Slicing
Class Notes Tues., Feb. 20–Volume 1:  Disk Method
     Volume 1: Disk Method Video
Class Notes Thurs., Feb. 15–Area 2
     Area 2 Video
Class Notes Tues., Feb. 13–Area 1
     Area 1 Video

 

Integration

Assignment Sheet

Journal

Calculus History Poster

Class Notes Wed., Feb. 7–Average Value and Integration Review (Short)
     Mean (Average) Value Theorem & CAS Video
     Integration Review Video (2024–Short).
Class Notes Mon., Feb. 5–Definite Integrals & Fundamental Theorem of Calculus
     Riemann Sums, Definite Integrals, & the Fundamental Theorem of Calculus Video
Class Notes Thurs., Feb. 1–Integration 3
     Integration 3 Video (Exponential, Log, & Inverse Trig Functions)
Class Notes Tues., Jan. 30–Integration 2
     Integration 2 Video
Class Notes Fri., Jan. 26–Integration 1
     Integration 1 Video

Optimization

Assignment Sheet

Journal

Optimization Handout Packet

Class Notes Mon., Jan. 22–Optimization Review
     Optimization Review Video
Class Notes Thurs., Jan. 18–Optimization 3
     Optimization 3 Video (2020 Video; see other pages for different years)
Class Notes Thurs., Jan. 11–Optimization 2
     Optimization 2 Video
Class Notes Fri., Jan. 5–Optimization 1
      Optimization 1 Video

 

 

Rectilinear Motion

Assignment Sheet
Journal
Class Notes Fri., Dec. 15–Rectilinear Motion (Vertical) & Newton’s Method
     Rectilinear Motion (Vertical) & Newton’s Method Video
Class Notes Wed., Dec. 13–Rectilinear Motion (Horizontal)
     Rectilinear Motion (Horizontal) Video

Semester Exam

Class Notes Thursday, Dec. 7–Semester 1 Review Day 2
     Semester 1 Review Day 2 Video
Class Notes Tuesday, Dec. 5–Semester 1 Review Day 1
     Semester 1 Review Day 1 Video

 

 

Curve Sketching

Assignment Sheet

Journal

Curve Sketching Packet
Class Notes Wed., Nov. 29–Curve Sketching Review
     Curve Sketching Review Video
Class Notes Mon., Nov. 27–Curve Sketching with CAS
     Curve Sketching with CAS Video
Class Notes Mon., Nov. 20–Absolute Extrema
     Absolute Extrema Video
Class Notes Thurs., Nov. 16–Interpreting Graphs
     Interpreting Graphs Video
Class Notes Wed., Nov. 15–Relative Extrema
     Relative Extrema Video
Class Notes Fri., Nov. 10–Curve Sketching 2
     Curve Sketching 2 Video
Class Notes Wed., Nov. 8–Curve Sketching 1
     Curve Sketching 1 Video

Related Rates

Assignment Sheet

Journal

Related Rates Handout

Class Notes Tues., Oct. 31–Related Rates 3
     Related Rates 3 Video
Class Notes Thurs., Oct. 26–Related Rates 2
     Related Rates 2 Video
Class Notes Tues., Oct. 24–Related Rates 1
     Related Rates 1 Video

 

 

Special Derivatives

Assignment Sheet

Journal

Class Notes Wed., Oct. 18–Special Derivatives Review
     Special Derivatives Review Video
Class Notes Mon., Oct. 16–More L’Hopital’s Rule
     More L’Hopital’s Rule Video
Class Notes Thurs., Oct. 12–Derivatives of Inverse Trig Functions & L’Hopital’s Rule
     Derivatives of Inverse Trig Functions & L’Hopital’s Rule Video
Class Notes Tues., Oct. 10–Derivatives of Exponential & Logarithmic Functions
     Derivatives of Exponential & Logarithmic Functions Video
Class Notes Thurs., Oct. 5–Implicit Differentiation
     Implicit Differentiation Video

Derivatives

Assignment Sheet

Journal

Class Notes Fri. Sept. 29–Differentiability & Derivatives Review
      Differentiability & Derivatives Review Video
Class Notes Wed., Sept. 27–More Chain Rule & Differentials
     More Chain Rule & Differentials Video
Class Notes Mon., Sept. 25–Product, Quotient & Chain Rules
     Product, Quotient, & Chain Rules Video
Class Notes Thursday, Sept. 21–Definitions of the Derivative & Power Rule
     Definitions of Derivative & Power Rule Video

 

 

Limits

Assignment Sheet

Journal

Class Notes Thurs., Sept. 14–Limit Review
     Limits Review Video
Class Notes Tues., Sept. 12–Asymptotes & ContinuityB
     Asymptotes & Continuity Video
Class Notes Fri., Sept. 8–Special Limits
     Special Limits Video
Class Notes Wed., Sept. 6–One-sided Limits & Limits to Infinity
     Limits 2: One-sided Limits & Limits to Infinity Video

Limits Handout Packet (first 2 pages are out of order)

Class Notes Fri., Sept. 1–Limits 1: Graphs & 0/0 Notes
     Limits 1: Graphs & 0/0 Video

 

Review of Precalc Topics

Mon., Aug. 28 Class Notes–Graphing Review
     Graphing Review Video
Thurs., Aug. 24 Class Notes–Trigonometry Review
     Trigonometry Review Video
Tues., Aug. 22 Class Notes–Exponential & Logarithmic Functions, Partial Fractions, & Lines
     Exponential & Logarithmic Functions, Partial Fractions, & Lines Video
Fri., Aug. 18 Class Notes–Functions & Domain Review
      Functions & Domain Video (from 2022)