Math 165: (Calculus 1 – Aum )

Calculus 1

What you’ll learn
complex numbers
CH 12.2 Vectors
CH 12.3 Dot product
Ch1.1 Functions- Even & Odd Functions & Symmetry
Ch1.2 Linear, polynomial, power, rational, trigonometric, exponential and logarithmic functions
CH 1.3 New Functions from Old Functions
Ch 1.4 Exponential Functions
Ch 1.5 Inverse Functions and Logarithmic Functions
Ch 2.2 The Limit of a Function
Ch 2.3 Calculating Limits Using the Limit Laws
Ch 2.5 Continuity
Ch 2.6 Limit at Infinity and Horizontal Asymptotes
Ch 2 7 & 2 8 Derivatives and Rates of Change
CH 3.1 Derivatives of Polynomials
CH 3.2 The Product and Quotient Rules – derivatives
Ch 3.3 Derivatives of Trigonometric
CH 3.4 The Chain Rule
CH 3.5 Implicit Differentiation and Derivatives of Inverse Trigonometric Functions
CH 3.6 Derivatives of Logarithmic functions
Ch 4.1 Maximum and Minimum Values
Ch 4.2 The Mean Value Theorem
Ch 4.3 How Derivatives Affect the Shape of a Graph – increasing and decreasing intervals – local minimum and maximum points – inflection points
Ch 4.4 Indeterminate Forms and L’Hospital’s Rule
Ch 4.5 Summary of Curve Sketching
Ch 4.9 Antiderivatives- – integration
Ch 5.3 The Fundamental Theorem of Calculus – integration
Ch 5.4 Indefinite Integrals and the Net
Ch 10.5 Conic Sections

Requirements
سوف يحتاج جوال او جهاز لاب توب او جهاز كمبيوتر

Description
Course contentcomplex numbersCH 12.2 VectorsCH 12.3 Dot product Ch1.1 Functions- Even & Odd Functions & Symmetry Ch1.2 Linear, polynomial, power, rational, trigonometric, exponential and logarithmic functionsCH 1.3 New Functions from Old Functions Ch 1.4 Exponential Functions Ch 1.5 Inverse Functions and Logarithmic FunctionsCh 2.2 The Limit of a Function Ch 2.3 Calculating Limits Using the Limit Laws Ch 2.5 Continuity Ch 2.6 Limit at Infinity and Horizontal AsymptotesCh 2 7 & 2 8 Derivatives and Rates of ChangeCH 3.1 Derivatives of PolynomialsCH 3.2 The Product and Quotient Rules – derivativesCh 3.3 Derivatives of TrigonometricCH 3.4 The Chain RuleCH 3.5 Implicit Differentiation and Derivatives of Inverse Trigonometric FunctionsCH 3.6 Derivatives of Logarithmic functionsCh 4.1 Maximum and Minimum ValuesCh 4.2 The Mean Value TheoremCh 4.3 How Derivatives Affect the Shape of a Graph – increasing and decreasing intervals – local minimum and maximum points – inflection pointsCh 4.4 Indeterminate Forms and L’Hospital’s RuleCh 4.5 Summary of Curve SketchingCh 4.9 Antiderivatives- – integrationCh 5.3 The Fundamental Theorem of Calculus – integrationCh 5.4 Indefinite Integrals and the NetCh 10.5 Conic SectionsAdditionally, key concepts like limits and integrals are essential.

Overview
Section 1: CH 12 and Complex number

Lecture 1 CH 12.2 – Part 1 – Vectors شرح

Lecture 2 CH 12.2 – Part 2 – Vectors شرح

Lecture 3 CH 12.2 – Part 3 – Vectors شرح

Lecture 4 CH 12.3 – Part 1 – Dot product شرح

Lecture 5 CH 12.3 – Part 2 – Dot product شرح

Lecture 6 complex numbers شرح

Section 2: Chapter 1

Lecture 7 Ch1.1 – Part 1 – Functions- Even & Odd Functions & Symmetry شرح

Lecture 8 Ch1.1- Part 2- Increasing & Decreasing Functions, Domain شرح

Lecture 9 Ch1.2 polynomial, rational, trigonometric, exponential, logarithmic function

Lecture 10 CH 1.3 – Part 1 _ New Functions from Old Functions شرح

Lecture 11 CH 1.3 – Part 2 _ Composition of functions Examples شرح

Lecture 12 Exercises on CH 1.1&1.2 & 1.3 حل

Lecture 13 Ch 1.4 Exponential Functions شرح

Lecture 14 Ch 1.5 Inverse Functions and Logarithmic Functions شرح

Section 3: Chapter 2

Lecture 15 Ch 2.2 The Limit of a Function شرح

Lecture 16 Ch 2.3 Calculating Limits Using the Limit Laws شرح

Lecture 17 Ch 2.5 Continuity شرح

Lecture 18 Ch 2.6 Limit at Infinity and Horizontal Asymptotes شرح

Lecture 19 Ch 2.7 & 2.8 Derivatives and Rates of Change شرح

Section 4: Chapter 3

Lecture 20 CH 3.1 Derivatives of Polynomials شرح

Lecture 21 CH 3.2 The Product and Quotient Rules – derivatives شرح

Lecture 22 Ch 3.3 Derivatives of Trigonometric Functions شرح

Lecture 23 CH 3.4 The Chain Rule شرح

Lecture 24 CH 3.5 Implicit Differentiation and Derivatives of Inverse Trigonometric Func.

Lecture 25 CH 3.6 – Part (1) – Derivatives of Logarithmic functions شرح

Lecture 26 CH 3.6 – Part (2) – Derivatives of Logarithmic functions شرح

Section 5: Chapter 4

Lecture 27 Ch 4.1 Maximum and Minimum Values شرح

Lecture 28 Ch 4.2 The Mean Value Theorem شرح

Lecture 29 Ch 4.3 How Derivatives Affect the Shape of a Graph – increasing and decreasing

Lecture 30 Ch 4.4 Indeterminate Forms and L’Hospital’s Rule شرح

Lecture 31 Ch 4.5 Summary of Curve Sketching شرح

Lecture 32 Ch 4.7 Optimization Problems شرح

Lecture 33 Ch 4.9 Antiderivatives- – integration شرح

Section 6: Chapter 5

Lecture 34 ch 5.3 The Fundamental Theorem of Calculus – integration شرح

Lecture 35 Ch 5.4 Indefinite Integrals and the Net شرح

Section 7: Ch 10.5 Conic Sections

Lecture 36 Ch 10.5 Conic Sections شرح

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