Exercise bank
Write 30 calculus exercises with solutions, ranked by difficulty.
All pathsDiscover Coursera PlusAfter step 4 After step 5 After step 6 After step 8
Physics & maths · 20Beginner
Maths & Physical Science Teacher
Teachers or candidates for teaching exams.
Algebra, functions, calculus, mechanics, electromagnetism and general chemistry at introductory university level.
318hours of coursework
32weeks at 10 h
8steps
23courses
3universities
Target skills
Applied MathematicsGraphingCalculusAlgebraMathematical ModelingData AnalysisAdvanced MathematicsTrigonometryMechanicsTorque (Physics)PhysicsChemistry
Skill labels as listed on Coursera.
Target jobs
- Mathematics teacher
- Physical science teacher
- Teaching exam candidate
Progression
- 1Johns Hopkins UniversityBeginner
Show the 3 courses
Course Level Length Rating (reviews) Algebra: Elementary to Advanced - Equations & Inequalities Beginner 10 h 4.8 (654) Algebra: Elementary to Advanced - Functions & Applications Beginner 6 h 4.8 (198) Algebra: Elementary to Advanced - Polynomials and Roots Beginner 9 h 4.9 (176) - 2Johns Hopkins UniversityBeginnerR
Stated prerequisites: Some high school algebra and function basics
Show the 3 courses
Course Level Length Rating (reviews) Precalculus: Relations and Functions Beginner 12 h 4.7 (231) Precalculus: Periodic Functions Beginner 9 h 4.7 (110) Precalculus: Mathematical Modeling Beginner 10 h 4.8 (98) - 3Johns Hopkins UniversityIntermediateData Analysis Software
Stated prerequisites: Some familiarity with precalculus, specifically exponential and logarithm functions
Show the 4 courses
Course Level Length Rating (reviews) Calculus through Data & Modeling: Precalculus Review Beginner 8 h 4.8 (124) Calculus through Data & Modeling: Limits & Derivatives Beginner 10 h 4.7 (212) Calculus through Data & Modeling: Differentiation Rules Intermediate 8 h 4.8 (124) Calculus through Data & Modeling: Applying Differentiation Intermediate 7 h 4.7 (63) - 4Johns Hopkins UniversityIntermediate
Stated prerequisites: Working knowledge of differential calculus
Show the 4 courses
Course Level Length Rating (reviews) Calculus through Data & Modelling: Series and Integration Intermediate 9 h 4.9 (63) Calculus through Data & Modelling: Techniques of Integration Intermediate 5 h 4.7 (55) Calculus through Data & Modelling: Integration Applications Intermediate 6 h 4.6 (28) Calculus through Data & Modelling: Vector Calculus Intermediate 5 h 4.7 (53) - 5Rice UniversityIntermediate
Stated prerequisites: Algebra, geometry, trigonometry; basic calculus helpful
Show the 3 courses
Course Level Length Rating (reviews) Physics 101 - Forces and Kinematics Intermediate 30 h 4.7 (210) Physics 101 - Energy and Momentum Intermediate 23 h 4.6 (49) Physics 101 - Rotational Motion and Gravitation Intermediate 28 h 4.8 (104) - 6Rice UniversityIntermediate
Stated prerequisites: Algebra, geometry, trigonometry; basic calculus helpful
Show the 4 courses
Course Level Length Rating (reviews) Physics 102 - Electric Charges and Fields Intermediate 22 h 4.6 (210) Physics 102 - Electric Potential and DC Circuits Intermediate 22 h 4.8 (35) Physics 102 - Magnetic Fields and Faraday's Law Intermediate 26 h 4.8 (28) Physics 102 - AC Circuits and Maxwell's Equations Intermediate 18 h 4.8 (51) - 7Duke UniversityBeginner
Stated prerequisites: Strong algebra foundation
- 8Duke UniversityBeginner
With Coursera Plus
This path takes 318 hours, about 7 months at 10 hours a week. A Coursera Plus subscription gives access to most of its courses during that time.
Projects to build
Filmed mechanics
Film a fall or a pendulum and analyse the motion frame by frame in Python.
RC circuit
Model a capacitor’s charge and compare the curve with a real measurement.
Stoichiometry activity
Create a class activity on amounts of substance with a simple experiment.
Free textbooks
Precalculus 2eOpenStaxFree, CC BY 4.0
Calculus, Volumes 1 to 3OpenStaxFree, CC BY 4.0
University Physics, Volumes 1 to 3OpenStaxFree, CC BY 4.0
Chemistry 2eOpenStaxFree, CC BY 4.0