Calculus 12 and AP Calculus
Calculus is a branch of mathematics that's been around since the 17th Century - 1665 to be exact - and has majorly influenced life as we know it! Whether it's automobile design, police fingerprinting, weather prediction, the music industry, or space travel, to name only a few, Calculus has truly revolutionized the world many times over. Those who take this course will embark on a similar journey that was made over 300 years ago, discovering what Calculus is, how it works, and why Calculus is referred to as the "the microscope of mathematics!" In fact, many students have said that they enjoyed Calculus more than they did Math 12, specifically because it's just one continually building theme and thus so much easier to assimilate.
Why MathOnline for Calculus?
What’s particularly unique about Calculus on the MathOnline format, is the technology. Where in any classroom can every single student drag a point along a curve to see the exact rate of change at that point, or watch a specific point get infinitely close to another point to help explain the foundational concept of a “limit”?! …Without technology, students are forced to somehow imagine these things in their mind, or maybe see someone explain it with a static 2D diagram – but with MathOnline and its savvy interactive features, interlaced technological platform, and slick features like half speed, pause, or even double speed, to mention a few, this becomes the best platform to learn mathematics anywhere. Sounds a little far-fetched? See for yourself – and consider what the author of the course - a teacher with a reputation of being an outstanding high school & post-secondary classroom teacher - had to say when he saw the first of his lessons put into the MathOnline format: “This is better than any classroom lesson I have ever taught... A traditional classroom lecture simply can’t come close to this - this is surely the way of the future.”
Why take Calculus in high school?
- Estimates for the failure / drop-out rate for first year calculus at university are historically between 35-50%. (According to one student, it was 75% for SFU in a recent year.)
- "Students with a high school calculus course continue to do much better than students who had not taken a high school calculus course. In fact, the gap between these groups of students has widened significantly." - Quote from UBC. (In fact, their passing rate is way higher than the other group, and their grades are approximately 20% higher.)
- Students who take calculus in high school end up GREATLY boosting their GPA at university by taking calculus there again. And these days, anything that boosts your overall university GPA is so important because of the fierce competition.
- Possible reasons for the much higher marks / passing rate:
- The teacher support is way higher. At many universities, you may not even get time with your actual professor, and you are often simply a number.
- The pace at high school is much more manageable... and an online format is often even more flexible there.
- At university, it's often just 1 or 2 midterms and a final exam that make up your whole mark. So if you have a bad day, too bad for you! But at high school, there are many more opportunities to get higher marks (numerous assignments, simple quizzes, chapter tests, etc).
- Universities are often trying to weed out poorer students and make it very difficult to get 100%, so their tests can be tricky and not reflective of the assignments or even notes they gave in class. But in high school, the notes, assignments, quizzes and tests are all designed to be quite consistent and fair.
- And finally, we have to keep in mind that you're essentially redoing the same course!! So it's very normal to expect to better the second time around... much better, in fact.
- Past students: Students who take calculus at high school so often come back and tell us how well they did at university and how glad they were that they took it in high school first.
- Poor math students: If you're not great at math, all the more reason to take the course in high school, to give yourself that much of a better chance in university.
Calculus 12
This course covers the following general topics, covering all of the learning outcomes of the B.C. Ministry of Education Calculus 12 curriculum, as well as a few additional concepts.
- Functions (Review)
- Limits and Continuity
- The Derivative
- Exponential, Logarithmic, and Inverse Trigonometric Functions
- The Derivative in Graphing and Applications
- Integration
- Applications of the Definite Integral in Geometry, Science, and Engineering
AP Calculus AB
This course covers the AP Calculus AB curriculum and covers the following topics:
- Functions (Review)
- Limits and Continuity
- The Derivative
- Exponential, Logarithmic, and Inverse Trigonometric Functions
- The Derivative in Graphing and Applications
- Integration (General and Substituion)
- Applications of the Definite Integral in Geometry, Science, and Engineering
AP Calculus AB & BC
This course covers the AP Calculus BC curriculum (which is the AP Calculus AB plus additional topics, equivalent to an entire first year of calculus at university or college) and covers the following topics:
- Functions (Review)
- Parametric, Polar and Vector Functions
- Limits and Continuity
- The Derivative
- Exponential, Logarithmic, and Inverse Trigonometric Functions
- The Derivative in Graphing and Applications
- Integration (General, Substitution, Parts, and Partial Fractions)
- Applications of the Definite Integral in Geometry, Science, and Engineering
- Polynomial Approximations (Taylor and Maclaurin Series)
- Series, Convergence and Divergence