Pm1001
ALGEBRA I
Espaņol
GENERAL GOAL
1.
Introduce the student to
mathematical language and develop skills in the use of algebraic operations.
2.
Introduce the students to
mathematical concepts such as: sets, numbers, exponents, operations, and
algebraic expressions, and train them in the correct use of their properties
and relations.
3.
Transmit a vision of mathematics as
a tool to describe, understand, and solve different problems in our
surroundings.
4.
Present algebra to the students as a
generalization of arithmetic.
5.
Define the subgroups of real
numbers.
6.
Represent the real numbers in the
number line.
7.
Solve problems with rational
numbers.
8.
Adequately use algebraic
terminology.
9.
Solve problems with all kinds of
algebraic expressions.
10.
Perform the multiplication of
certain notable products.
11.
Perform correctly the factorization
process of certain algebraic expressions.
12.
Simplify algebraic expressions with
fractions using factorization.
13.
Solve problems with simplified
algebraic fractions.
SYLLABUS
1.
Arithmetic with real numbers
2.
Terminology and notation of
algebraic expressions.
3.
Fundamental operations with
algebraic operations.
4.
Factorization
5.
Rational expressions
Pm1005
ALGEBRA I
Espaņol
GENERAL GOAL
1. Introduce the student to mathematical language and develop skills in the
use of algebraic operations.
2. Introduce the students to mathematical concepts such as: sets, numbers,
exponents, operations, and algebraic expressions, and train them in the correct
use of their properties and relations.
3. Transmit a vision of mathematics as a tool to describe, understand, and
solve different problems in our surroundings.
4. Present algebra to the students as a generalization of arithmetic.
5. Define the subgroups of real numbers.
6. Represent the real numbers in the number line.
7. Solve problems with rational numbers.
8. Adequately use algebraic terminology.
9. Solve problems with all kinds of algebraic expressions.
10. Perform the multiplication of certain notable products.
11. Perform correctly the factorization process of certain algebraic
expressions.
12. Simplify algebraic expressions with fractions using factorization.
13. Solve problems with simplified algebraic fractions.
SYLLABUS
1. Arithmetic with real numbers
2. Terminology and notation of algebraic expressions.
3. Fundamental operations with algebraic operations.
4. Factorization
5. Rational expressions
Espaņol
GENERAL GOAL
The student:
1.
Will learn the rules
for solving a first degree equation
2.
Will apply mathematical
models with first degree equations to real life problems and other areas.
3.
Will learn to solve
lineal equation systems with two and three unknowns.
4.
Will apply mathematical
models with equation systems to real life problems and other areas.
5.
Will learn to simplify
and solve operations with radicals, applying the rules.
6.
Will learn the concept
of complex numbers and will solve operations between them.
7.
Will establish the
differences between equations and inequality.
8.
Will solve inequalities
interpreting the solution in the number line.
9.
Will be able to define
and interpret a quadratic equation.
10.
Will be able to solve a
quadratic equation.
11.
Will be able to
construct and solve mathematical models, which involve quadratic equations.
12.
Will be able to solve
quadratic equation systems.
13.
Will understand and
apply absolute value theorems.
14.
Will be capable of
solving equations and inequalities, which involve absolute value.
SYLLABUS
1.
Lineal equations
2.
Lineal equation system
with two unknowns.
3.
Lineal equation system
with three unknowns
4.
Radicals
5.
Complex numbers
6.
Polynomial and
quadratic equations
7.
Inequalities
8.
Absolute value
9.
Monthly Exams
Espaņol
GENERAL GOAL
The student:
1.
Will learn the rules
for solving a first degree equation
2.
Will apply mathematical
models with first degree equations to real life problems and other areas.
3.
Will learn to solve
lineal equation systems with two and three unknowns.
4.
Will apply mathematical
models with equation systems to real life problems and other areas.
5.
Will learn to simplify
and solve operations with radicals, applying the rules.
6.
Will learn the concept
of complex numbers and will solve operations between them.
7.
Will establish the
differences between equations and inequality.
8.
Will solve inequalities
interpreting the solution in the number line.
9.
Will be able to define
and interpret a quadratic equation.
10.
Will be able to solve a
quadratic equation.
11.
Will be able to
construct and solve mathematical models, which involve quadratic equations.
12.
Will be able to solve
quadratic equation systems.
13.
Will understand and
apply absolute value theorems.
14.
Will be capable of
solving equations and inequalities, which involve absolute value.
SYLLABUS
1.
Lineal equations
2.
Lineal equation system
with two unknowns.
3.
Lineal equation system
with three unknowns
4.
Radicals
5.
Complex numbers
6.
Polynomial and
quadratic equations
7.
Inequalities
8.
Absolute value
9.
Monthly Exams
Espaņol
GENERAL GOAL
At the end of this course
the students should be able to solve problems of different areas of
trigonometry, which involve any type of triangle, and they must also learn to
use technological tools that make problem solution easier.
SYLLABUS
1.
Preliminary notions to
the concept of function
2.
Trigonometry
Espaņol
GENERAL GOAL
At the end of this course
the students should be able to solve problems of different areas of
trigonometry, which involve any type of triangle, and they must also learn to
use technological tools that make problem solution easier.
SYLLABUS
1.
Preliminary notions to
the concept of function
2.
Trigonometry
Espaņol
GENERAL GOAL
Integrate geometric and
algebraic concepts as a way to obtain mathematical models.
SYLLABUS
1.
Rectangular coordinate
system
2.
The line
3.
Conic sections
4.
Quadratic equation
system
5.
Coordinate
transformation
Espaņol
GENERAL GOAL
Integrate geometric and
algebraic concepts as a way to obtain mathematical models.
SYLLABUS
1.
Rectangular coordinate
system
2.
The line
3.
Conic sections
4.
Quadratic equation
system
5.
Coordinate
transformation
Pm5001 DIFERENTIAL
CALCULUS
Espaņol
GENERAL GOAL
The students will be
capable of identifying, analyzing, applying, and constructing models that are
represented through algebraic, logarithmic, and exponential functions for
problem solving. Also, they will
develop skills that lead them to knowledge of the concepts of limits,
continuity, and derivates.
SYLLABUS
1.
Relations and functions
2.
Algebra of functions
3.
Exponential and
logarithmic functions
4.
Special functions
5.
Limits
6.
Continuity
7.
Derivatives
8.
Applications of
derivatives
9.
Monthly Exams
Pm5005
DIFERENTIAL CALCULUS
Espaņol
GENERAL GOAL
The students will be
capable of identifying, analyzing, applying, and constructing models that are
represented through algebraic, logarithmic, and exponential functions for
problem solving. Also, they will
develop skills that lead them to knowledge of the concepts of limits, continuity,
and derivates.
SYLLABUS
1.
Relations and functions
2.
Algebra of functions
3.
Exponential and
logarithmic functions
4.
Special functions
5.
Limits
6.
Continuity
7.
Derivatives
8.
Applications of
derivatives
9.
Monthly Exams
Espaņol
GENERAL GOAL
As a result of this course
it is expected that the students will be able to understand, analyze, and apply
the basic concepts and elements of integral calculus; that they will acquire
skills in the use of defined and undefined integral calculus and for its
appropriate application in the solving of specific problems. Also, that they value the importance of
calculus as an instrument for the modeling and solution of problems and in this
way establish a bond between mathematics and daily life.
SYLLABUS
1.
Differential calculus
2.
Undefined integrals
3.
Integration techniques
4.
Defined integrals and
their applications
5.
Monthly Exams
Espaņol
GENERAL GOAL
As a result of this course
it is expected that the students will be able to understand, analyze, and apply
the basic concepts and elements of integral calculus; that they will acquire
skills in the use of defined and undefined integral calculus and for its
appropriate application in the solving of specific problems. Also, that they value the importance of
calculus as an instrument for the modeling and solution of problems and in this
way establish a bond between mathematics and daily life.
SYLLABUS
1.
Differential calculus
2.
Undefined integrals
3.
Integration techniques
4.
Defined integrals and
their applications
5.
Monthly Exams