View the curricular competencies here: Calculus 12
WHAT IS COVERED IN THE COURSE:
Module 1: Precalculus 12 Review
- Introduction to Calculus, Review of Functions, Graphing Calculators, Composition, Some Common Functions, Inverse Functions, Exponential & Logarithmic Functions
Module 2: Limits and Continuity
- Introduction to Limits, Properties of Limits, Limits Involving Infinity, Continuity, Applications of Limits
Module 3: Differentiation
- Introduction to Limits, Properties of Limits, Limits Involving Infinity, Continuity, Applications of Limits
Module 4: Applications of the derivative
- Analyzing Functions Part I: Curve Sketching, Analyzing Functions Part II: Maximums and Minimums, Applied Maximum and Minimum Problems, Distance, Velocity, Acceleration and Rectilinear Motion, Related Rates, The Mean-Value Theorem
Module 5: Integration
- Area Approximation and Riemann Sums, Introduction to the Definite Integral, The Fundamental Theorem of Calculus, Integrals and Antiderivatives, Integration by Substitution, The Definite Integral
Module 6: Applications of Integrals
- Finding the Area Under and Between Curves, Volume by Discs (Slicing), Volume by Shells, Work, Average Value of a Function and Rectilinear Motion Revisited
Module 7: Differential Equations and More Reimann Sums
- Differential Equations – An Introduction, Initial Value Problems, Slope Fields, and Euler’s Method, Linearization and Newton’s Method, Numerical Approximation Methods with Integrals
Module 8: Supplemental Topics (No unit test)
- Exploring the Graphs of f, f’, Relative Rates of Growth, Using Calculus With Data in a Table, Functions Defined By Integrals
ASSESSMENTS
HOW WILL YOU BE GRADED
Activation Assignment (Review of Pre-Calc 12) 5%
Each Module has:
- Quizzes ( 1 or 2 per Module) done online in Brightspace – 5%
- Module Test ( multiple choice/short answer with required written work upload) done online in Brightspace – 10%
- Video Notes and Review Assignment Submission – scan and submit into Brightspace drop box – 5%
- Midterm – 30% and Final Exam – 40% – both are in person supervised exams
- Final Project – submission in Brightspace drop box – 5%
Required Resources: a computer with internet access and headphones/speakers in addition to a scientific calculator. GRAPHING CALCULATORS ARE NOT PERMITTED TO BE USED DURING EXAMS.