
AP
Pre Calculus
Unit 1
001 : Relation, Domain, Range, Classifying relations (13:47 min)
002: Definition of a function (7:20 min) (Prerequisite)
003: Function notation (9:25 min) (Prerequisite)
004: Graph of a function (10:56 min) (Prerequisite)
005: Vertical line test (4:55 min)
006: Members Only: Exercises on Vertical line test
007: Domain and Range of a function through the graph
008: Members Only: Exercises on stating a function's domain and range by using its graph
009: Axial intercepts of a graph (4:11 min)
010: Members Only: Exercises on axial intercepts
011: Points on the graph of a function (6:20 min)
012: Monotonicity of a function (8:12 min)
013: Members Only: Exercises on a function's monotonicity
014: Graph of a function and extremas (6:33 min)
015: Members only: Exercise on finding the extremas through the graph
016: Concavity of a graph (2:54 min)
017: Members only: Exercises on monotonicity and concavity
018: Average rate of change AROC over an interval [a,b] (10:04 min)
019: Members only: Exercises on AROC over an interval (14:50 min)
020: Members only: More exercises on AROC (12:33 min)
021: Average rate of change and monotonicity (8:10 min)
022: Average rate of change and concavity (5:41 min)
023: Members only: Exercises on AROC combined with monotonicity and concavity (9:33 min)
024: Instantaneous rate of change IROC (10:21 min)
025: Polynomial functions terminology (9:22 min)
026: Zeros of polynomial functions (18:12 min)
027: Members only: Exercises on zeros of a polynomial function (10:23 min)
028: Factor theorem (2:24 min)
029: Members only: Exercises on factor theorem (6:36 min)
030: Multiplicity of a root (6:09 min)
031: Geometrical interpretation of a root's multiplicity (5:25 min)
032: Members only: Exercises on multiplicities of roots (14:51 min)
033: Fundamental theorem of Algebra (5:51 min)
034: Members only: Exercises on fundamental theorem of Algebra (9:44 min)
035: Geometrically solving inequalities with polynomials (5:44 min)
036: Algebraically solving inequalities (18:10 min)
037: Members only: Exercises on algebraically solving inequalities (18:35 min)
038: Members only: More worked exercises on inequalities with polynomials (14:11 min)
039: End behavior of a polynomial function graphically (7:09 min)
040: End behavior of a polynomial function algebraically (9:13 min)
041: Members only: Exercises on a polynomial's end behavior (19:36 min)
042: Extremas in polynomial functions (14:31 min)
043: Members only: Exercises on finding extremas in polynomial functions (4:41 min)
044: Determining the degree of a polynomial through successive differences (6:27 min)
045: Members only: Exercises on finding the degree of a polynomial with successive differences
046: Odd and even functions (15:12 min)
047: Members only: Exercises on odd and even functions (11:55 min)
048: Zeros of a rational function (8:02 min)
049: Members only: Exercises on zeros of a rational function (15:04 min)
050: Domain of a rational function (9:12 min)
1.6 Polynomial Functions and end behavior
1.7A Rational functions and end behavior
1.7B Rational functions and Horizontal Asymptotes
1.8 Rational functions and Zeros
1.9 Rational functions Domain and Vertical Asymptotes
1.11 Binomial expansion (applying the formula)
1.11 Binomial expansion (applying formula and simplifying)
1.11 Binomial expansion (using the general term)
1.12 Transformations (introduction and key concepts)
1.12 Tansformations (understanding translations)
1.12 Transformations (understanding dilations)
1.12 Transformations (understanding reflections)
1.12 Transformations (order when describing matters)
1.12 Transformations (worked exercises)
Unit 2
2.16 Regression models with CASIO FxCG50 (instructions)
2.16 Regression models (4 worked exercises)
HOT AP pre-CALCULUS questions (a collection of the most expected exercises)
Describing a function's graph (monotonicity , Concavity , behavior of rate of change)
Drawing the graph of any exponential function (interpet its characteristics)
Using the CASIO to determine regression models
Exercises to work with
1.14 Using regression models to make predictions: Worksheet (1.99$)
Review Conceptual notes per unit
Unit 1