

週 
授業内容・方法 
週ごとの到達目標 
前期 
1stQ 
1週 
Equalities and inequalities 
Understand the properties of equalities and inequalities and be able to solve linear equations and inequalities.

2週 
Real numbers and complex numbers 
Understand the properties of real and complex numbers and be able to add and subtract them.

3週 
Addition and subtraction of integral expressions 
Add and subtract integral expressions.

4週 
Multiplication of equalities 
Multiple equalities.

5週 
Factorization 
Resolve expressions into factors.

6週 
Division of equalities 
Multiple equalities.

7週 
Remainder theorem and factor theorem 
Understand the remainder theorem and the factor theorem and resolve highorder expressions into factors.

8週 
Fractional expressions 
Calculate fractional expressions.

2ndQ 
9週 
First semester midterm exam 

10週 
Equation solving/solutions for quadratic equations and factorization 
Solve quadratic equations.

11週 
Solutions for cubic and quartic equations 
Solve highorder equations by using the factor theorem.

12週 
Different types of equations 
Solve simultaneous, fractional, irrational, and other types of equations.

13週 
Sets and propositions 
Deal with sets and propositions.

14週 
Identities 
Understand what identities are and be able to apply this understanding in relation to the process of decomposition into partial fractions.

15週 
Proof of equalities 
Prove equalities.

16週 
First semester routine exam 

後期 
3rdQ 
1週 
Properties and graphs for quadratic functions 
Understand the properties of quadratic functions and be able to graph them.

2週 
Maximum and minimum values for quadratic functions 
Obtain the maximum and minimum values for quadratic functions.

3週 
Quadratic functions and quadratic equations 
Use quadratic functions to solve quadratic equations.

4週 
Quadratic functions and quadratic inequalities 
Use quadratic functions to solve quadratic inequalities.

5週 
Functions and translations of function graphs 
Understand and be able to graph parallel and symmetric translations of functions graphs.

6週 
Fractional functions/irrational functions 
Understand the properties of fractional functions and irrational functions and be able to graph them.

7週 
Composite functions/inverse functions and graphs 
Be able to obtain and graph the composite and inverse functions of basic functions.

8週 
Second semester midterm exam 

4thQ 
9週 
Roots and exponential dilation 
Understand what roots are and extend the law of exponents for calculations.

10週 
Exponential functions and graphs 
Understand the properties of exponential functions and be able to graph them.

11週 
Equations and inequalities containing exponential functions 
Solve basic equations and inequalities containing exponential functions.

12週 
Logarithms and their basic properties 
Understand what logarithms are and use them to perform calculations.

13週 
Logarithmic functions and graphs 
Understand the properties of logarithmic functions and be able to graph them.

14週 
Equations and inequalities containing logarithmic functions 
Solve basic equations and inequalities containing logarithmic functions.

15週 
Common logarithms 
Understand what common logarithms are and be able to apply this understanding to calculations.

16週 
Second semester routine exam 
