国际课程通用高中数学-Precalculus预备微积分

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免费 Introduction to i and imaginary numbers (00:00)

免费 Imaginary roots of negative numbers (00:00)

免费 Calculating i raised to arbitrary exponents (00:00)

免费 i as the principal root of -1 (a little technical) (00:00)

免费 Introduction to complex numbers (00:00)

免费 Plotting complex numbers on the complex plane (00:00)

免费 Adding complex numbers (00:00)

免费 Subtracting complex numbers (00:00)

免费 Multiplying complex numbers (00:00)

免费 Example: Complex roots for a quadratic (00:00)

免费 Example 2: Adding polynomials (00:00)

免费 Example 3: Subtracting polynomials (02:06)

免费 Polynomial subtraction (00:00)

免费 Multiplying binomials by polynomials: area model (06:29)

免费 Example 2: Multiplying a binomial by a polynomial (00:00)

免费 Polynomial special products: difference of squares (00:00)

免费 Polynomial special products: perfect square (00:00)

免费 Factoring higher degree polynomials (00:00)

免费 Factoring perfect squares: common factor (00:00)

免费 Identifying quadratic patterns (00:00)

免费 Factorization with substitution (00:00)

免费 Example 5: Factoring a fourth degree polynomial using the "perfect square” form (00:00)

免费 Example 1: Factoring a difference of squares with two variables (00:00)

免费 Zeros of polynomials introduction (00:00)

免费 Zeros of polynomials: plotting zeros (00:00)

免费 Zeros of polynomials: matching equation to zeros (00:00)

免费 Zeros of polynomials: matching equation to graph (00:00)

免费 Zeros of polynomials (with factoring): grouping (00:00)

免费 Zeros of polynomials (with factoring): common factor (00:00)

免费 Polynomial division introduction (00:00)

免费 Dividing polynomials by x (no remainders) (00:00)

免费 Polynomial divided by monomial (00:00)

免费 Polynomial division (00:00)

免费 Dividing polynomials by x (no remainders) (00:00)

免费 Dividing quadratics by linear expressions with remainders (00:00)

免费 Dividing quadratics by linear expressions with remainders: missing x-term (00:00)

免费 Dividing polynomials by linear expressions (00:00)

免费 Dividing polynomials by linear expressions: missing term (00:00)

免费 Factoring using polynomial division (00:00)

免费 Factoring using polynomial division: missing term (00:00)

免费 Shifting functions introduction (00:00)

免费 Shifting functions (00:00)

免费 Graphing shifted functions (00:00)

免费 Reflecting functions introduction (00:00)

免费 Reflecting functions: examples (00:00)

免费 Scaling functions introduction (00:00)

免费 Scaling functions vertically: examples (00:00)

免费 Scaling functions horizontally: examples (00:00)

免费 Compressing functions (00:00)

免费 Shifting & reflecting functions (00:00)

免费 Intervals and interval notation (00:00)

免费 What is the domain of a function? (00:00)

免费 What is the range of a function? (00:00)

免费 How to find the domain and the range of a function given its graph (example) (00:00)

免费 Introduction to function inverses (00:00)

免费 Understanding inverse functions (00:00)

免费 Understanding function inverses example (00:00)

免费 Function inverse example 1 (00:00)

免费 Introduction to the unit circle (00:00)

免费 Matching ratios to trig functions (00:00)

免费 Introduction to radians (00:00)

免费 Radian and degree conversion practice (00:00)

免费 Example: Converting degrees to radians (00:00)

免费 Example: Converting radians to degrees (00:00)

免费 Rotation by radians and quadrants (00:00)

免费 Pythagorean trig identity from unit circle (00:00)

免费 Using the Pythagorean trig identity (00:00)

免费 Solving triangle in unit circle (00:00)

免费 Example: Graph, domain, and range of sine function (00:00)

免费 Example: Intersection of sine and cosine (00:00)

免费 Determining the equation of a trig function (00:00)

免费 Modeling temperature through the day (00:00)

免费 Modeling annual temperature variation with trigonometry (00:00)

免费 Day length in Alaska (00:00)

免费 King_s cupcakes: Solving systems by elimination (00:00)

免费 Why we do the same thing to both sides basic systems (00:00)

免费 Strategies for eliminating variables in a system examples (00:00)

免费 Solving system with elimination (00:00)

免费 How many bags of potato chips do people eat? (00:00)

免费 Systems of equations with elimination (and manipulation) (00:00)

免费 Worked example: equivalent systems of equations (05:30)

免费 Worked example: non-equivalent systems of equations (00:00)

免费 Dilating points example (00:00)

免费 Dilation scale factor examples (00:00)

免费 Thinking about dilations (00:00)

免费 Dilating shapes: shrinking (00:00)

免费 Dilating triangles: find the error (02:40)

免费 Dilations and shape properties (00:00)

免费 Example: Trig to solve the sides and angles of a right triangle (00:00)

免费 Introduction to the unit circle (00:00)

免费 Matching ratios to trig functions (00:00)

免费 Distance formula (00:00)

免费 Explicit and recursive definitions of sequences (00:00)

免费 Introduction to arithmetic sequences (00:00)

免费 Using arithmetic sequences formulas (00:00)

免费 Worked example: using recursive formula for arithmetic sequence (00:00)

免费 Introduction to geometric sequences (00:00)

免费 Using explicit formulas of geometric sequences (00:00)

免费 Using recursive formulas of geometric sequences (00:00)

免费 Recursive formulas for arithmetic sequences (00:00)

免费 Finding the 100th term in a sequence (00:00)

免费 Converting recursive & explicit forms of arithmetic sequences (00:00)

免费 Explicit & recursive formulas for geometric sequences (00:00)

免费 Converting an explicit formula of a geometric sequence to a recursive formula (00:00)

免费 Sequences word problems (00:00)

免费 Evaluating sequences in recursive form (00:00)

免费 Geometric series introduction (00:00)

免费 Finite geometric series formula justification (00:00)

免费 Worked examples: finite geometric series (00:00)

免费 Geometric series word problems: swing (00:00)

免费 Geometric series word problems: hike (00:00)

免费 Graphing circles from features (00:00)

免费 Features of a circle from its graph (00:00)

免费 Radius and center for a circle equation in standard form (00:00)

免费 Graphing a circle from its standard equation (00:00)

免费 Writing standard equation of a circle (00:00)

免费 Completing the square to write equation in standard form of a circle (00:00)

免费 Focus and directrix introduction (00:00)

免费 Equation for parabola from focus and directrix (00:00)

免费 Probability explained (00:00)

免费 Finding probability example (00:00)

免费 Finding probability example 2 (00:00)

免费 Intuitive sense of probabilities (00:00)

免费 Probability and the Monty Hall problem (00:00)

免费 Example: Probability through counting outcomes (00:00)

免费 Example: All the ways you can flip a coin (00:00)

免费 Die rolling probability (00:00)

免费 Describing subsets of sample spaces exercise (00:00)

免费 Intersection and union of sets (00:00)

免费 Relative complement or difference between sets (00:00)

免费 Universal set and absolute complement (00:00)

免费 Subset, strict subset, and superset (00:00)

免费 Bringing the set operations together (00:00)

免费 Experimental probability (00:00)

免费 Comparing theoretical to experimental probabilites (00:00)

免费 Making predictions with probability (00:00)

免费 Experimental versus theoretical probability simulation (00:00)

免费 Random number list to run experiment (00:00)

免费 Random numbers for experimental probability (00:00)

免费 Statistical significance of experiment (00:00)

免费 Probability with playing cards and Venn diagrams (00:00)

免费 Addition rule for probability (00:00)

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