So what did they teach you in high school?
This is me:
Mathematical logic
Set theory
Number theory
Algebra
2d geometry
3d geometry
Vectors
Trigonometry
Cartesian geometry
Combinatorics
Graphs
Functions
Series
Single variable function analysis
Statistics, Probability
>Pic related is the problem books backside
All that + some calculus
How about functions, integrals and limits?
Trigonometry first year and then three years of calculus.
The rest we had in middle school and elementary school except for statistics which I remember choosing not to take but I don't remember when.
>>7922265
american here
>Geometry
>Algebra 2/trig
>Precalc
>calc 1+2
At least that's how my school did it.
I took calc 1-4 my junior senior year at a community college.
>>7922243
Essentials Math
Applied Math
Pre-Calculus
Physics
Canadian curriculums are ruled by oligarchy so you don't learn as much as you could
I'm in college now, but I remember my high school curriculum pretty well. And this is just the math courses:
Grade 9, first semester:
Real analysis
Group Theory
Ordinary Differential Equations
Topology
Grade 9, second semester:
Complex analysis
Riemannian Geometry
Number Theory
Set Theory
Grade 10, first semester:
Differential Geometry
Ring Theory
Functional analysis
Probability Theory
Grade 10, second semester:
Field Theory
Calculus of Variations
Number Theory
Graph Theory
Grade 11, first semester:
Galois Theory
Mathematical Logic
Functional Analysis
Ordinary Differential Equations
Grade 11, second semester:
Partial Differential Equations
Combinatorics
Theory of Computation
Model Theory
Grade 12, first semester:
Harmonic Analysis
Approximation Theory
Commutative Algebra
Algebraic Geometry
Grade 12, second semester:
Measure Theory
Numerical Analysis
Nonstandard Analysis
Dimension Theory
Pretty standard where I'm from, DESU.
I'm in college now, but I remember my high school curriculum pretty well. And this is just the math courses:
Grade 9, first semester:
Real analysis
Group Theory
Ordinary Differential Equations
Topology
Grade 9, second semester:
Complex analysis
Riemannian Geometry
Number Theory
Set Theory
Grade 10, first semester:
Differential Geometry
Ring Theory
Functional analysis
Probability Theory
Grade 10, second semester:
Field Theory
Calculus of Variations
Number Theory
Graph Theory
Grade 11, first semester:
Galois Theory
Mathematical Logic
Functional Analysis
Ordinary Differential Equations
Grade 11, second semester:
Partial Differential Equations
Combinatorics
Theory of Computation
Model Theory
Grade 12, first semester:
Harmonic Analysis
Approximation Theory
Commutative Algebra
Algebraic Geometry
Grade 12, second semester:
Measure Theory
Numerical Analysis
Nonstandard Analysis
Dimension Theory
Pretty standard where I'm from, DESU.
Ontario high school math curriculum
Grade 9 academic level:
Exponents & exponent rules
Add and subtract polynomials
Multiply polynomials and monomials
Simplifying expressions and isolating for variables
Solve first-degree equations
Graphing and data management
Slope and its properties
Parallel and perpendicular lines
Pythagorean theorem
Surface area, perimeter, and volume
Grade 10 academic level:
Quadratic relations and their properties
Graphing equations in the form of [math]y = a(x - h)^2 + k[/math]
Completing the square
Solving quadratic equations by factoring
graphing with a graphing calculator
Solving two systems of linear equations
Midpoint and distance formula
Equation of a circle
Circumcenter, centroid, orthocenter
Trigonometric ratios
Trigonometry of acute triangles
Sine law and cosine law
Grade 11 functions, university preparation:
Definition of a function and how to represent them; function notation
Domain and range
Inverse of a function and how to graph them
Transformation of graphs
Determining the zeros of a quadratic equations
Calculating the discriminant
Finding the maximum and minimum values of a quadratic function
Determining the equation of a quadratic function given coordinates and roots
Intersection of a linear and quadratic function
Simplifying polynomial expressions
Simplifying radicals
Simplifying rational expressions through addition, subtraction, multiplication and division
Graphing exponential functions; transformation of graphs
Express exponential functions with different bases
Simplifying expressions with integer and rational exponents
Radioactive decay, population growth,
Determine the domain, range, intercepts, asymptotes, increasing and decreasing intervals
Arithmetic and geometric series
Fibonacci sequence
Simple interest and compound interest calculations
[math]A = P(1 + i)^n[/math]
Proving trigonometric identities
Determine exact values of sin, cos, and tan
Define secant, cosecant, cotangent
Graphing sinusoidal functions
Disussion of basic functions like polynomes, exp, log and trigonometry.
Calculus (limits, derivates and integrals) with one variable
2 and 3 dimensional geometry, with vectors and stuff
Statistics and Propability
Pretty shit desu, but here everyone has to take the math class and there is only one math class. Germany, Bavaria.
1st year - Algebra 2
2nd year - Pre-cal (Trig)
3rd year - Calculus
4th year - Calculus 2 + Statistics
>>7923103
please dont remind me
>>7923103
That was longer than expected. I'll shorten it this time. Cont'd
Grade 12 advanced functions - university preparation:
Solving exponential and logarithmic functions. Graphing them
Converting degrees to radians
Inverse trigonometric functions
Graphing and solving trig functions
Proving trig identities
Rational and polynomial inequalities
Graphing rational equations
Asymptotes
Synthetic division
Factor theorem, remainder theorem
Composition of functions
Average and instantaneous rates of change
Grade 12 - Calculus and vectors
Instantaneous rate of change
Limit of polynomial, rational, and trigonometric expressions
Fundamental theorem and calculus
Power rule, chain rule, product rule quotient rule
Derivatives of trigonometric and logarithmic functions
Vector addition, substraction, and scalar multiplication
Scalar, parametric, and vector equations
Parallel and perpendicular planes and lines
Projection
I think it's a nice progression even though it may not be as advanced as other school curricula. I wonder if /sci/ could do all of the things I listed
>>7922988
Wtf that's crazy.
>>7922243
ugyanez