Differential Calculus
To help you succeed in your differential calculus course, it’s important to master certain essential concepts. This page will give you access to the key concepts of the differential calculus program. This knowledge is in line with program 201 – NYA – 05, differential calculus.
What is decisive knowledge (learning)?
It corresponds to what you need to know, be able to do or understand to succeed in the course in which you are enrolled. For learning to be decisive, it must be prior, transferable and lasting.
Prerequisite: Does it prepare your child for other essential learning in the field in question?
Transferable: Is it useful for your child in other school subjects or disciplines?
Durable: Is it useful for your child throughout his or her life?
Key skills for the program
Differential calculus
The following knowledge is essential for successful completion of the differential calculus course.
Algebraic concepts and functions
Number sets and intervals
Simple intervals – Numerical Calculation – Maths seconde – Les Bons Profs
Exponents
Operations on polynomials
Operations on polynomials – Addition, subtraction, product and division
Addition and subtraction of rational fractions
Division of rational fractions
Factoring
Allô prof – Factoring by completing a square
Sum and difference of cubes – Factorization technique
Algebraic functions and functions defined by parts
Allô prof – Equation of degree 2 polynomial function (zeros)
Polynomial functions of degree n
The rational function, p.1 of 2
Exponential and logarithmic functions
Find the rule of an exponential function
Trigonometry
Radians and the trigonometric circle 1
Radians and the trigonometric circle 2
Limits and continuities
Limit at a point – Functions defined by parts
Limit at a point – Indeterminate form 0 on 0 – Algebraic function
Limits to infinity – Algebraic functions
Derivative of algebraic functions
Derivative of a constant function
Derivative of the product of a constant and a function
Derivative of a sum of two functions
Derivative of a compound function
Demonstrate that implicit and explicit derivation give the same result
Rate of change
Calculating an instantaneous rate of change – Using an alternative definition
Differential calculus: chapter 4, related rates
Algebraic function analysis
Differential calculus: complete analysis step 1
Differential calculus: complete analysis, step 2
Differential calculus: complete analysis, steps 3-4
Differential calculus: complete analysis step 5
Differential calculus: complete analysis, step 6
Exponential and logarithmic functions
Derivative of exponential functions
Derivative of logarithmic functions
Trigonometric functions
Derivative of cosine functions
Derivative of tan, cot, sec and cosec functions
Derivative of inverse trigonometric functions
College mathematics :