Study · Mathematics
Required for all majors
Mathematics
10 chapters · 25 topics. Pick a chapter — each opens its full page: lessons, formulas, practice, timed sets and previous exam questions.
48Q / 60m
format · ~75s per Q
25
topics with lessons
4
exam modules
52 hr
suggested study time
Sets & Inequalities
15% weight · 2 hr · Easy · 2 topics
Set operations with Venn counting plus linear, quadratic, fractional and absolute-value inequalities.
Functions
35% weight · 20 hr · Hard · 12 topics
Function families (power, exponential, log, trig), sequences and series, and calculus through basic applications.
Functions
Domain and range, monotonicity, parity, and the power, exponential, logarithmic and trigonometric families.
Open full chapter →
Sequences
Arithmetic and geometric sequences and series: general terms, sums, and applied growth problems.
Open full chapter →
Calculus
Limits, derivative rules, and basic applications: tangents, monotonicity, extrema and simple optimization.
Open full chapter →
Geometry and Algebra
30% weight · 18 hr · Hard · 9 topics
Coordinate geometry and conics plus vectors, complex numbers and solid geometry.
Geometry
Coordinate geometry: lines, circles, and the conic sections — ellipses, hyperbolas and parabolas.
Open full chapter →
Vectors
Vector coordinates, magnitude, dot product, parallelism/perpendicularity, and basic geometric applications.
Open full chapter →
Complex Numbers
The complex plane, modulus and argument, the four operations, conjugates, and quadratic roots.
Open full chapter →
Solid Geometry
Space lines and planes, and surface area / volume of prisms, pyramids, cylinders, cones and spheres.
Open full chapter →
Probability and Statistics
20% weight · 12 hr · Medium · 2 topics
Counting, classical/conditional probability and independence, plus centers, spread and chart reading.
Probability
Classical probability, counting (permutations/combinations), conditional probability and independence.
Open full chapter →
Statistics
Mean, median, mode, variance and standard deviation, plus reading frequency tables and basic charts.
Open full chapter →
25 topics · one system
Pick a chapter and work it fully.
Lessons → practice → timed sets → previous exam questions, then prove it in a full 48Q mock.