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

بالكويت - طلبة كلية الهندسهAUM طلبة جامعة