Видео

Calculus I - Evaluating limits using tables.

Proofs by contradiction, especially with divisibility.

Proofs involving Cartesian products of sets

Definition of natural logarithm in terms of a definite integral; graph of y = ln x; derivative of y = ln x; Euler's constant, e.

Binomial Theorem: factorials, Pascal's Triangle, expanding binomials, finding binomial coefficients

Zeros of polynomial functions: Descartes's Rule of Signs, upper and lower bounds for real zeros of a polynomial function.

Matrices and systems of equations: coefficient matrix, augmented matrix, elementary row operations, row-echelon form, reduced row-echelon form, systems of linear equations with no solution or exactly one solution (infinite solutions are omitted).

Solving trigonometric equations.

Solving systems of three linear equations in three variables (one solution and no solution).

Sum and difference formulas for sine, cosine, and tangent.

Double-angle formulas for sine, cosine, and tangent; rewriting expressions using the double-angle formulas; verifying identities using double-angle formulas.

Double-Angle Formulas for sine, cosine, and tangent; derivations of the formulas; practice writing from single angle form to double angle form and vice-versa.

Verifying trigonometric identities using Pythagorean Identities, Quotient Identities, Reciprocal Identities, and operations with fractions.

Verifying trigonometric identities using Pythagorean Identities, Quotient Identities, Reciprocal Identities, and operations with fractions.

Math 175 Section 4.7 Lecture

Math 201 Section 10.1 Lecture

Math 175 Section 4.6 Lecture (Part 2)

Math 175 Section 4.8 Lecture

Math 175 Section 4.6 Lecture (Part 1)

Math 175 Section 4.5 Lecture (Part 2)

Math 175 Section 4.4 Lecture

Math 201 Section 9.10 Lecture

Math 201 Section 9.9 Example

Math 175 Section 4.3 Lecture

Math 175 Section 4.2 Lecture

Math 175 Section 4.1 Lecture (Part 2)

Math 175 Section 4.1 Lecture (Part 1)

Math 201 Section 9.7 Lecture

Math 201 Section 9.5 Proofs