The primary purpose of these courses is to help senior high-school students prepare for university, especially programs requiring mathematics and physics. (Individual programs can be designed at any level.) The currently available courses are listed below. Detailed information about each course can be obtained by clicking on each course title.

Over the past decade, we have seen an ever-increasing number of unprepared students enter university each year. Most of them have good grades, but their chances of success at university are small because they have not developed the essential skills and habits in high school. This is a multi-factorial problem, and ultimately must be solved at the level of provincial and national politics, but in the mean time, your children need help in succeeding at university **now**. The aim of these courses is to provide help to your children **now**.

**Where to begin**: If you are planning on starting a university program soon, a good place to begin is to enroll in the “How to Succeed at University” course. This will help you understand which adjustments you will have to make, and help you to develop the skills and habits that will lead you to success.

If you are heading for a university program in mathematics, physics, or engineering, enrolling in “Linear Algebra, Part 1” would be my first choice. Linear algebra is typically the hardest first-year university course for mathematics, physics, and engineering students, so getting a head start now, while you are in high school, will help you a lot!

To contact me, click on “Contact.” To register in a course, click on “Register.”

- Tutoring and Individual Programs
- How to Succeed at University
- Linear Algebra, Part 1
- Linear Algebra, Part 2
- Physics
- Logic
- Calculus, Part 1
- Calculus, Part 2

## Tutoring and Individual Programs

I will design an individual learning program at any level to help you or your child learn essential mathematics or physics to build a strong foundation for success at school and beyond. Tutoring sessions are also available. Contact me if you wish to discuss this.

## How to Succeed at University

Audience: This course is designed for any high school students who are interested in developing the attitudes, habits, and skills necessary for success in any university programs.

Course Description: Most students are not well-prepared for university, their results in first-year university are typically a lot lower than their Grade 12 results, and their stress levels are typically a lot higher than in high school. This course is designed to optimally prepare you for university so that you will achieve excellent results while minimizing your stress levels.

You will learn:

- how university differs from high school
- how to organize and plan for success
- how to discard bad habits and form good habits
- how to work independently
- how to work effectively in groups
- how to study effectively
- how to read a textbook
- how to tackle homework assignments, essays, and lab reports
- how to prepare effectively for tests and exams
- and much more

Course Delivery: Recorded lectures and worksheets.

Prerequisites: None.

Cost: TBA

To register in a course, click on “Register.”

Online course page: Click here.

## Linear Algebra, Part 1

Audience: This course is designed for Grade 12 students to help them prepare for university programs in mathematics, physics, and engineering. (Strong Grade 11 students have had success learning this material with me in the past.)

Course Description: This is designed as an enrichment course, and goes beyond the standard high-school curriculum. For most first-year university mathematics, physics, and engineering students, the hardest math course is linear algebra. Students have always found this difficult, because it is the first encounter most students have with abstract mathematics. Most universities typically teach the course in a fairly abstract way, which compounds the difficulties. This course emphasizes concrete examples, primarily in two and three dimensions, which helps students to visualize and internalize the concepts, and brings them along to the more abstract aspects of linear algebra in a step-by-step way. The course is supported by a textbook written in tutorial style.

Course Delivery: Recorded lectures and worksheets.

Prerequisites: Excellent understanding of Grade 11 mathematics.

Cost: TBA

To register in a course, click on “Register.”

Online course page: Click here.

## Linear Algebra, Part 2

Audience: This course is designed for Grade 12 students to help them prepare for university programs in mathematics, physics, and engineering. (Strong Grade 11 students have had success learning this material with me in the past.)

Course Description: This is designed as an enrichment course, and goes beyond the standard high-school curriculum. This course builds on Linear Algebra, Part I, and includes more advanced material. For most first-year university mathematics, physics, and engineering students, the hardest math course is linear algebra. Students have always found this difficult, because it is the first encounter most students have with abstract mathematics. Most universities typically teach the course in a fairly abstract way, which compounds the difficulties. This course emphasizes concrete examples in low dimensions (mainly in two and three dimensions), which helps students to visualize and internalize the concepts, and brings them along to the more abstract aspects of linear algebra in a step-by-step way. The course is supported by a textbook written in tutorial style.

Course Delivery: Recorded lectures and worksheets.

Prerequisites: Linear Algebra, Part 1.

Cost: TBA

To register in a course, click on “Register.”

Online course page: Click here.

## Physics

Audience: High-school students.

Course Description: This course is an introduction to physics with an emphasis on developing conceptual understanding and problem-solving skills, as a foundation for further studies in university science and engineering. Numerous applications to every-day phenomena and technological devices are discussed to illustrate how an understanding of simple physical principles enriches our understanding of our beautiful world. Physics is simple, but subtle, said Paul Ehrenfest. Deeply examining simple principles will illuminate the subtleties.

Course Delivery: Recorded lectures and worksheets.

Prerequisites: Excellent understanding of Grade 11 mathematics.

Cost: TBA

To register in a course, click on “Register.”

Online course page: Click here.

## Logic

Audience: High-school students.

Course Description: We focus on classical logic in plain language. Logic is a neglected component of high-school education nowadays, but it is absolutely essential for clear thinking and clear communication, particularly in fields where reasoning is important, such as mathematics, computer science, science, engineering, and in humanities courses such as philosophy. Students who plan to write professional exams (MCAT, LSAT, etc.) also need a thorough understanding of logic.

Prerequisites: Excellent understanding of Grade 11 mathematics.

Course Delivery: Recorded lectures and worksheets.

Prerequisites: Excellent understanding of Grade 11 mathematics.

Cost: TBA

To register in a course, click on “Register.”

Online course page: Click here.

## Calculus, Part 1

Audience: This course is designed for Grade 12 students to help them prepare for university programs in mathematics, physics, and engineering. (Strong Grade 11 students have had success learning this material with me in the past.)

Course Description: This is designed as an enrichment course, and goes beyond the standard high-school curriculum. We begin by working on a very detailed and conceptual understanding of limits, followed by the core of differentiation and integration, and some work on power series and differential equations. This is all very important as a foundation for studies in mathematics, physics, and engineering. This course emphasizes concrete examples, which helps students to visualize and internalize the concepts, and brings them along to the more general aspects of calculus in a step-by-step way. The course is supported by a textbook written in tutorial style.

Course Delivery: Recorded lectures and worksheets.

Prerequisites: Excellent understanding of Grade 11 mathematics.

Cost: TBA

To register in a course, click on “Register.”

Online course page: Click here.

## Calculus, Part 2

Course Description: This is designed as an enrichment course, and goes beyond the standard high-school curriculum. This course builds on Calculus, Part I, and includes more advanced material. Topics include more on differentiation and integration, more on power series and differential equations, and an introduction to Fourier series. This is all very important as a foundation for studies in mathematics, physics, and engineering. This course emphasizes concrete examples, which helps students to visualize and internalize the concepts, and brings them along to the more general aspects of calculus in a step-by-step way. The course is supported by a textbook written in tutorial style.

Course Delivery: Recorded lectures and worksheets.

Prerequisites: Calculus, Part 1.

Cost: TBA

To register in a course, click on “Register.”

Online course page: Click here.

For more information click on “Contact.”

To register in a course, click on “Register.”