Alberta 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.
Couse Overview
Couse Timeline
| Month | Unit | Chapters Covered | Focus |
|---|---|---|---|
| Month 1 | Transformations & Functions |
Chapter 1: Transformations Chapter 2: Radical Functions Chapter 3: Polynomial Functions |
Understanding horizontal/vertical translations, reflections, and stretches. Analyzing characteristics of polynomial and radical graphs. |
| Month 2 | Trigonometry |
Chapter 4: Trig & the Unit Circle Chapter 5: Trig Functions & Graphs Chapter 6: Trig Identities |
Mastering the unit circle, radian measure, and graphing sinusoidal functions. Proving complex trigonometric identities. |
| Month 3 | Exponential & Logarithmic Functions |
Chapter 7: Exponential Functions Chapter 8: Logarithmic Functions |
Evaluating and graphing logs and exponents. Solving equations using log laws to find unknown variables in growth/decay models. |
| Month 4 | Rational Functions & Permutations |
Chapter 9: Rational Functions Chapter 10: Function Operations Chapter 11: Permutations & Binomial Theorem |
Analyzing horizontal/vertical asymptotes and holes. Applying counting principles, factorials, and the Binomial Theorem. |
| Month 5 | Revision & Diploma Preparation | Full Curriculum Review | Targeted review of high-weight Diploma Exam topics, practice with released Alberta Education questions, and final exam strategies. |
Course Schedule
| Session | Program Duration | Batch 1 | Batch 2 |
|---|---|---|---|
| Fall Session | September – January (5 Months) |
Monday, Tuesday, Wednesday 7:30 PM – 8:30 PM |
Thursday, Friday, Saturday 6:30 PM – 7:30 PM |
| Winter Session | February – June (5 Months) |
Monday, Tuesday, Wednesday 7:30 PM – 8:30 PM |
Thursday, Friday, Saturday 6:30 PM – 7:30 PM |
Tuition Fee
| Fee Type | Amount | Details |
|---|---|---|
| Registration Fee | $50 CAD | One-time fee required to secure a student's seat in the program and to provide printed learning materials and course resources. |
| 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. |
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.