Calculus

HCC Syllabus

Calculus Policies

Portfolio Instructions

Derivative & Integration Rules

Final Project: Using Equation Editor & Sharing Files Video

2024-2025 School Year

Semester 2 Final Exam

Class Notes Fri., May 2–Semester 2 Review Day 2
     Semester 2 Review Day 2 Video
Class Notes Wed., Apr. 30–Semester 2 Review Day 1
     Semester 2 Review Day 1 Video

 

Techniques of Integration

Assignment Sheet

Journal

Class Notes Thurs., Apr. 24–Techn Integ Review
     Techniques of Integration Review Video
Class Notes Mon., Apr. 21–Partial Fractions Integration
     Integration with Partial Fractions Video
Class Notes Mon., Apr. 14–Trig Substitution
     Trig Substitution Video
Class Notes Tues., Apr. 8–Trig Integrals
     Trig Integrals Video
Class Notes Fri., Apr. 4–Integration by Parts
     Integration by Parts Video

 

Applications of Integration

Assignment Sheet

Journal

Class Notes Mon., Mar. 31–Applications of Integration Review
     Applications of Integration Review Video
Class Notes Thurs., Mar. 27–Fluid Force
     Fluid Force Video
Class Notes Tues., Mar. 25–Work
     Work Video
Class Notes Mon., Mar. 10–Business Applications & Hyperbolic Functions
    Business Applications & Hyperbolic Functions Video 
Class Notes Thurs., Mar. 6–Differential Equations & Motion
     Differential Equations & Motion Video

Area & Volume

Assignment Sheet

Journal

Class Notes Fri., Feb. 28–Area & Volume Review
     Area & Volume Review Video
Class Notes Wed., Feb. 26–Length of Curve & Surface Area
     Length of Curve & Surface Area Video
Class Notes Mon., Feb. 24–Shell Method
     Volume–Shell Method Video
Class Notes Thurs., Feb. 20–More Disk Method & Slicing
     Volume–More Disk Method & Slicing Video
     Tile Project Instructions Video
Class Notes Tues., Feb. 18–Volume–Disk Method
     Volume–Disk Method Video
Class Notes Thurs., Feb. 13–Area 2
     Area 2 Video
Class Notes Tues., Feb. 11–Area 1
     Area 1 Video

 

 

Integration

Assignment Sheet

Journal

Class Notes Wed., Feb. 5–Average Value & Integration Review
     Average Value & Integration Review Video
Class Notes Mon., Feb. 3–Definite Integrals & Fundamental Theorem of Calculus
     Definite Integrals & the Fundamental Theorem of Calculus Video
Class Notes Thurs., Jan. 30–Integration of Exponential, Logarithmic, & Inverse Trig Functions
     Integration of Exponential, Logarithmic & Inverse Trig Functions Video
Class Notes Tues., Jan. 28–Integration 2
     Integration 2 Video
Class Notes Fri., Jan. 24–Integration 1
     Integration 1 Video

Optimization

Assignment Sheet

Journal

Class Notes Fri., Jan. 17–Optimization Review
     Optimization Review Video
Class Notes Wed., Jan. 15–Optimization 3
     Optimization 3 Video
Class Notes Mon., Jan. 13–Optimization 2
     Optimization 2 Video
Class Notes Thurs., Jan. 9–Optimization 1
     Optimization 1 Video

Rectilinear Motion

Assignment Sheet

Journal

Class Notes Tues., Dex. 17–Rectilinear Motion & Newton’s Method
     Rectilinear Motion & Newton’s Method Video

Semester Exam

Class Notes Wed., Dec. 11–Calc Semester 1 Review Day 2
     Semester 1 Review Day 2 Video
Class Notes Mon., Dec. 9–Semester 1 Review Day 1
     Semester 1 Review Day 1 Video

 

Curve Sketching

Assignment Sheet

Journal

Class Notes Tues., Dec. 3–Curve Sketching Review
     Curve Sketching Review Video
Class Notes Fri., Nov. 22–Curve Sketching with CAS
     Curve Sketching with CAS Video
Class Notes Wed., Nov. 20–Absolute Extrema
     Absolute Extrema Video
Class Notes Mon., Nov. 18–Interpreting Graphs
     Interpreting Graphs Part 1 Video
     Interpreting Graphs Part 2 Video
Class Notes Thurs., Nov. 14–Relative Extrema
     Relative Extrema Video
Class Notes Tues., Nov. 12–Curve Sketching 2
     Curve Sketching 2 Video
Class Notes Fri., Nov. 8–Curve Sketching 1
     Curve Sketching 1 Video

Related Rates

Class Notes Mon., Oct. 28–Related Rates 3
     Related Rates 3 Video
Class Notes Thurs., Oct. 24–Related Rates 2
     Related Rates 2 Video
Class Notes Tues., Oct. 22–Related Rates 1
     Related Rates 1 Video Crashed (See 2023-2024 page)

 

 

Special Derivatives

Assignment Sheet

Journal

Class Notes Fri., Oct. 11–More L’Hopital’s Rule
     More L’Hopital’s Rule Video
Class Notes Wed., Oct. 9–Derivatives of Inverse Trig Functions & L’Hopital’s Rule
     Derivatives of Inverse Trig Functions & L’Hopital’s Rule Video
Class Notes Mon., Oct. 7–Derivatives of Exponential & Logarithmic Functions
     Derivatives of Exponential & Logarithmic Functions Video
Class Notes Thurs., Oct. 3–Implicit Differentiation
     Implicit Differentiation Video

 

 

Derivatives

Assignment Sheet

Journal

Class Notes Wed., Oct. 16–Special Derivatives Review
     Special Derivatives Review Video
Class Notes Fri., Sept. 27–Differentiability & Derivatives Review
     Differentiability Video
     Derivatives Review Video
Class Notes Wed., Sept. 25–More Chain Rule & Differentials
     More Chain Rule & Differentials Video
Class Notes Fri., Sept. 20–Product, Quotient, & Chain Rules
     Product, Quotient, & Chain Rules Video
Class Notes Wed., Sept. 18–Definitions of the Derivative & Power Rule
     Definition of Derivative Video
     Power Rule & Derivatives of Trig Functions Video

 

Limits

Assignment Sheet

Journal

Class Notes Thurs., Sept. 12–Limits Review
     Limits Review Video
Class Notes Tues., Sept. 10–Asymptotes & Continuity
     Asymptotes & Continuity Video
Class Notes Fri., Sept. 6–Special Limits
     Special Limits Video
Class Notes Wed., Sept. 4–One-sided Limits & Limits to Infinity
     One-Sided Limits & Limits to Infinity Video
Class Notes Fri., Aug. 30–Limits to a Number
     Limits to a Number Video

 

 

Precalc Review

Assignment Sheet

Journal

Class Notes Mon., Aug. 27–Graphing Review
     Graphing Review Video
Class Notes Thurs., Aug. 22–Trigonometry Review
     Trigonometry Review Video
Class Notes Tues., Aug. 20–Logs, Partial Fractions, & Lines
      Logs, Partial Fractions, & Lines Video
Class Notes Fri., Aug. 16–Functions & Domain (Updated Notes, More Details)
     Functions & Domain Video Part 1
     Functions & Domain Video Part 2