Course Description
This course is designed for the learner to learn the materials by watching videos and doing the lesson assignments. There are different ways of taking this course (see below on price of the course). I am giving you a process to learn a subject that many people find difficult. Once you master it you shouldn't have any problems. My goal is for the learner to master the content of the course. In either way you decide to take this course I can help several learners to set up discussions in New Directions Education Services Google Facebook page in order to learn as a group. You can subscribe to this page to learn interesting content. The course is designed to learn the materials by doing four types of activities:
1) Watching the videos
2) Reading the lessons and learning the content
3) Doing the examples of problems solved in each lesson
4) Doing the exercises nonsolved
The student will have to watch one or more videos and complete the assignments for each of the lessons. Answers will be provided for exercises to be solved. It is recommended that the students read the materials related to each lesson, learn the definitions, rules and other types of theories and apply these to solve problems. Each example should be done by the student even though it is solved on the material as a model. The student should first look at the examples, master the process of solving them and do it by himself without looking at the model or example. For each lesson the student has to complete the nonsolved exercises. Once the student finishes the solution of these exercises he/she can compare his/her own answers to the answers/provided. Students can send any questions related to the course by reaching the instructor via his website New Direction Education Services at www.ndes.wikidot.com
Price of the course
The price of the course depends on the way you decide to take it. The course is delivered in three ways.
1) Independent learning
You buy the course for a onetime fee of $600.00. You learn the entire course by yourself at your own pace. You make your own schedule and you decide on which part of the course you are going to learn each day. During this journey you are not alone as I'll be available to answer by email any questions you may have.
2) Private coaching facetoface or online
If after buying the course you decide to be tutored on the content this can be done at $25.00 per hour. My regular rate is $50.00 per hour. We can have weekly sessions of 2 hours. If you decide to do so you can contact the instructor Yves Simon by email at y.ssimon@yahoo.com
a) Facetoface coaching
If you are located in Boston, Massachusetts we can meet during the week days at 4.00 P.M for a 2 hours session where I go over the lessons, answering your questions and checking your assignments.
b) Online coaching
This can be done any during the week days from 4 P.M.The price is the same: $25 per hour. We meet online over Skype or Zoom for 1 or 2 hours session . During this time I go over the lessons, answering questions and checking assignments.
3) Oneone tutoring (facetoface or online)
Oneoneone tutoring either based on another Calculus course your are taking is $50.00 per hour.
Educator and Tutor facetoface and online
Yves Simon
Course curriculum

1
Course content

Summary of content


2
Notions of Limits and Continuity

Lesson 1 Functions and their graphs Video Lectures Introduction

Function and their graph written lesson
FREE PREVIEW 
Lesson 2 Introduction to the notion of limits Video Lectures Introduction

Introduction to the notion of limit written lesson
FREE PREVIEW 
Lesson 3 Onesided limits Video Lectures Introduction
FREE PREVIEW 
Onesided limit written lesson
FREE PREVIEW 
Lesson 4 Properties of limits Video Lectures Introduction

Properties of limits written lesson

Lesson 5 Limits at infinity Video Lectures Introduction

Limits at infinity and infinite limits written lesson

Notions of Continuity Video Lectures Introduction

Notions of Continuity written lesson


3
Derivatives

Lesson I Introduction to the notion of slope of a line. video lecture and Text

Lesson II Introduction to the notion of derivative. Video lecture and Text

Lesson III Derivative rules video lecture

Derivative rules written lesson

Lesson IV Derivatives of trigonometric functions video lecture

Derivatives of trigonometric functions written lesson

Lesson V Derivative of a composite function video lecture

Derivative of a composite function written lesson

Lesson VI Derivative of logarithm and exponential functions

Derivative of logarithm and exponential functions written lesson

Lesson VII Derivative of implicit functions video lecture

Derivative of implicit functions written lesson

Lesson VIII Application of derivatives: Hospital rule. Video lesson

Appication of derivatives: Hospital rule. Written lesson

Lesson IX First Derivative Test Extremum of a function

First Derivative Test Extremum of a Function Written Lesson

Lesson X Applications of Derivatives Extrema and Points of Inflexion

Lesson XI Second Derivative Test

Second Derivative Test Written Lesson

Lesson XII Applications of Derivatives: Related rates video lecture

Applications of Derivatives: Related rates Written Lesson

Applications of Derivatives Extrema and Points of Inflexion Written Lesson

Lesson XIII Applications of Derivatives: Optimization video lecture

Applications of Derivatives: Optimization Written Lesson


4
Integration

Lesson I Indefinite integral video lecture

Lesson I Indefinite integral written lesson

Lesson II Integral of basic functions video lecture

Integral of basic functions written lesson

Lesson III Integration by substitution video lecture

Integration by substitution written lesson

Lesson IV Integration by parts video lecture

Integration by parts written lesson

Lesson V Integration by partial fractions video lecture

Integration by partial fractions written lesson

Lesson VI Integration of simple trigonometric functions

Integration of simple trigonometric functions written lesson

Lesson VII Integration of the power of sine and cosine video lecture

Integration of the power of sine and cosine written lesson

Lesson VIII Integration of the product of the sine power by the cosine power

Integration of the product of the power of sine by the power of cosine written lesson

Lesson IX Integration of the power of secant and the power of tangent video lecture

Integration of the power of secant and the power of tangent written lesson

Lesson X Integration of the product of the power of secant by the power of tangent video lecture

Integration of the product of the power of secant by the power of tangent written lesson

Lesson XI Integrating an expression with radical by using trigonometric substitutions video lecture

Integrating an expression with radical by using trigonometric substitutions written lesson

Lesson XII An approach to calculate the area under curve video lecture

An approach to calculate the area under curve written lesson

Lesson XIII Properties of definite integrals video lecture

Properties of definite integrals written lesson

Lesson XIV Definite integrals and integration by substitution video lecture

Lesson XIV Definite integrals and integration by substitution written lesson

Lesson XV Definite integral : Integration by parts and integration by partial fractions written lesson

Lesson XVI Improper integrals video lesson

Improper integrals written lesson

Lesson XVII Fundamental theorem of Calculus video lecture

Fundamental theorem of Calculus written lesson

Lesson XVII: Applications of integral: area between a curve and the xaxis video lecture

Applications of integral: area between a curve and the x axis written lesson

Lesson XVIII Area between two curves video lecture

Lesson XVIII Area between two curves written lesson

Lesson XIX Volume of a solid: preliminary considerations

Volume of a solid: written lesson

Lesson XX Volume of a solid of revolution: method of disks video lesson

Volume of a solid of revolution: method of disks written lesson

Lesson XXI Volume of a solid of revolution: method of washer video lesson

Lesson XXI Volume of a solid of revolution: method of washer written lesson

Lesson XXII Volume of a solid of revolution: method of cylindrical shell video lesson

Volume of a solid of revolution: method of cylindrical shell written lesson
