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Since March 2023
Instructor since March 2023
Linear Algebra for university engineering and math majors
From 91.53 C$ /h
After successfully completing the course, you will have a good understanding of the following topics and their applications:
Systems of linear equations
Row reduction and echelon forms
Matrix operations, including inverses
Block matrices
Linear dependence and independence
Subspaces and bases and dimensions
Orthogonal bases and orthogonal projections
Gram-Schmidt process
Linear models and least-squares problems
Determinants and their properties
Cramer’s Rule
Eigenvalues and eigenvectors
Diagonalization of a matrix
Symmetric matrices
Positive definite matrices
Similar matrices
Linear transformations
Singular Value Decomposition
Systems of linear equations
Row reduction and echelon forms
Matrix operations, including inverses
Block matrices
Linear dependence and independence
Subspaces and bases and dimensions
Orthogonal bases and orthogonal projections
Gram-Schmidt process
Linear models and least-squares problems
Determinants and their properties
Cramer’s Rule
Eigenvalues and eigenvectors
Diagonalization of a matrix
Symmetric matrices
Positive definite matrices
Similar matrices
Linear transformations
Singular Value Decomposition
Extra information
Online or my place or your place.
Location
At teacher's location :
- Al-Baghdadiyah Al-Gharbiyah, Jeddah Saudi Arabia
Online from Saudi Arabia
About Me
I'm a class math teacher teaching grade 12 Ig. I teach pure math paper 3 and statistics paper 5. I have a 10 years experience in teaching and tutoring. If you need help preparing for 9709 examinations I am the one you looking for. I have a deep understanding of the subject. I am also acquainted with the new methods of teaching. I focus on building students' conceptual understanding so that they understand the 'why' of math, and what the underlying concepts are about the procedures they are learning.
Education
Lebanese Universe,2010, Pure mathematics with an average of 78 out of 100.
I have also a degree in computer Science, and a python associate certification PCAP. .
I have also a degree in computer Science, and a python associate certification PCAP. .
Experience / Qualifications
BSc in pure mathematics
10 years experience in teaching and tutoring maths for grades 11 and 12 IG, preparing youngsters for A level Examination.
10 years experience in teaching and tutoring maths for grades 11 and 12 IG, preparing youngsters for A level Examination.
Age
Teenagers (13-17 years old)
Adults (18-64 years old)
Student level
Beginner
Intermediate
Advanced
Duration
60 minutes
The class is taught in
English
Arabic
Skills
Availability of a typical week
(GMT -05:00)
New York
At teacher's location and via webcam
Mon
Tue
Wed
Thu
Fri
Sat
Sun
00-04
04-08
08-12
12-16
16-20
20-24
This is a class description for Cambridge IGCSE math, a course that covers the basic concepts and skills of mathematics. The course aims to prepare students for further studies in mathematics, science, engineering, and other fields that require mathematical reasoning. The course covers topics such as algebra, geometry, trigonometry, statistics, and calculus. The course also develops students' problem-solving, logical thinking, and communication skills. The course is assessed by a written examination at the end of the year.
Chapter 1: Relationships
The central question of this introductory chapter – which contains no calculus – is “What is a function?” The objective is to help students separate this concept from other relationships between varying quantities, and especially to separate the idea of function from such ideas as formula and equation. The concept of function is the basic building block of mathematics. A deep understanding of function will facilitate your future study of mathematics and computer science. Throughout this course, we will be working with multiple representations of functions. The authors of our text present functions verbally, numerically, and visually as well as algebraically.
Chapter 2: Models of Growth: Rates of Change
In this chapter, we will investigate some basic reasons for studying calculus. In particular we will investigate problem situations which can be modeled using differential equations. Topics introduced in this chapter include difference quotients, derivatives, slope fields, initial value problems whose solutions are functions and families of functions. The primary example of this chapter is natural population growth, the simplest ODE (ordinary differential equation) to solve. This example provides an immediate reason for moving beyond polynomials to other families of functions (e.g., to exponential and logarithmic functions). We will conclude this chapter by using tools of calculus to analyze the spread of the AIDS virus.
Chapter 3: Initial Value Problems
This short chapter builds on Chapter 2, introducing Newton’s Law of Cooling (exponential decay) to solve a murder mystery, then studying falling objects without air resistance (polynomial solutions).
Chapter 4: Differential Calculus and Its Uses
This chapter is the heart of first-semester calculus, consolidating what has been learned about derivatives to take up problems involving optimization, concavity, Newton’s Method (as an exercise in local linearity), and the basic formulas for differentiation. The product rule is introduced to study the growth rate of energy consumption, the chain rule to study reflection and refraction, and implicit differentiation to calculate derivatives of logarithmic functions and general powers. The process of zooming in on a graph is related to differentials and Leibniz notation. The chapter concludes with an interesting application of calculus to a problem in air-traffic control.
Chapter 5: Modeling with Differential Equations
This chapter builds on the problems introduced in Chapter 3, introducing air resistance to problems of falling bodies (e.g., raindrops and skydivers). The authors introduce problems of periodic motion, which are modeled using trigonometric functions and their derivatives.
The central question of this introductory chapter – which contains no calculus – is “What is a function?” The objective is to help students separate this concept from other relationships between varying quantities, and especially to separate the idea of function from such ideas as formula and equation. The concept of function is the basic building block of mathematics. A deep understanding of function will facilitate your future study of mathematics and computer science. Throughout this course, we will be working with multiple representations of functions. The authors of our text present functions verbally, numerically, and visually as well as algebraically.
Chapter 2: Models of Growth: Rates of Change
In this chapter, we will investigate some basic reasons for studying calculus. In particular we will investigate problem situations which can be modeled using differential equations. Topics introduced in this chapter include difference quotients, derivatives, slope fields, initial value problems whose solutions are functions and families of functions. The primary example of this chapter is natural population growth, the simplest ODE (ordinary differential equation) to solve. This example provides an immediate reason for moving beyond polynomials to other families of functions (e.g., to exponential and logarithmic functions). We will conclude this chapter by using tools of calculus to analyze the spread of the AIDS virus.
Chapter 3: Initial Value Problems
This short chapter builds on Chapter 2, introducing Newton’s Law of Cooling (exponential decay) to solve a murder mystery, then studying falling objects without air resistance (polynomial solutions).
Chapter 4: Differential Calculus and Its Uses
This chapter is the heart of first-semester calculus, consolidating what has been learned about derivatives to take up problems involving optimization, concavity, Newton’s Method (as an exercise in local linearity), and the basic formulas for differentiation. The product rule is introduced to study the growth rate of energy consumption, the chain rule to study reflection and refraction, and implicit differentiation to calculate derivatives of logarithmic functions and general powers. The process of zooming in on a graph is related to differentials and Leibniz notation. The chapter concludes with an interesting application of calculus to a problem in air-traffic control.
Chapter 5: Modeling with Differential Equations
This chapter builds on the problems introduced in Chapter 3, introducing air resistance to problems of falling bodies (e.g., raindrops and skydivers). The authors introduce problems of periodic motion, which are modeled using trigonometric functions and their derivatives.
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