Mathematics 30-1
Mastering Mathematical Analysis for University Pathways
Mathematics 30-1 is the mandatory prerequisite for Mathematics 31 and is intended for students planning to pursue post-secondary programs requiring advanced mathematics. This course builds on prior knowledge from Mathematics 20-1 and focuses on key concepts including transformations, functions, trigonometry, exponential and logarithmic functions, and rational functions. Through these topics, students strengthen their problem-solving abilities, analytical thinking, and mathematical reasoning, preparing them for success in higher-level mathematics and the Alberta Diploma Exam.
Our Mathematics 30-1 program at Maple Academic Centre is designed to strengthen advanced mathematical skills while fostering confidence in problem-solving and analytical thinking. We emphasize deep conceptual understanding, logical reasoning, and structured problem-solving over rote memorization. Students are guided to analyze complex functions, interpret mathematical relationships, apply strategies to unfamiliar problems, and communicate their reasoning clearly, developing the critical skills necessary for success in post-secondary mathematics and the Alberta Diploma Exam.
Couse Overview
Couse Timeline
| Month | Chapters Covered | Focus |
|---|---|---|
| September |
Chapter 1: Transformations of Functions Chapter 2: Operations on Functions |
Mastering vertical/horizontal translations, reflections, and stretches. Combining functions using sum, difference, product, quotient, and composite operations (f ∘ g)(x). |
| October |
Chapter 3: Inverse Relations Chapter 4: Polynomial Functions Chapter 5: Radical Functions |
Graphing and finding inverse relations f⁻¹(x). Analyzing higher-degree polynomial graphs using remainder/factor theorems and synthetic division. Graphing and analyzing square root transformations. |
| November |
Chapter 6: Rational Functions Chapter 7: Exponential Functions Chapter 8: Logarithmic Functions |
Analyzing rational functions for vertical/horizontal asymptotes, point discontinuities (holes), and domain restrictions. Graphing exponential and logarithmic curves while applying log laws to solve equations. |
| December |
Chapter 9: Trigonometry Chapter 10: Permutations & Combinations |
Mastering the unit circle, radian measure, sinusoidal graphs, and proving trig identities. Applying fundamental counting principles, permutations, combinations, and the Binomial Theorem. |
| January | Full Curriculum Review | Targeted review of high-weight Diploma Exam topics, full practice exams using released Alberta Education questions, and proven test-taking strategies. |
Course Schedule
| Session | Program Duration | Batch 1 | Batch 2 |
|---|---|---|---|
| Fall Session |
September – January (5 Months) |
Tuesday & Friday 4:45 PM – 6:15 PM |
Wednesday & Saturday 6:30 PM – 8:00 PM |
| Winter Session |
February – June (5 Months) |
Tuesday & Friday 4:45 PM – 6:15 PM |
Wednesday & Saturday 6:30 PM – 8:00 PM |
Tuition Fee
| Fee Type | Amount | Details |
|---|---|---|
| Tuition Fee | $300 CAD / month | Students pay $300 CAD per month. The complete 5-month Mathematics 30-1 program totals $1,500 CAD and covers the entire syllabus, revision sessions, and diploma exam preparation. |