I am an engineer and professional tutor with more than 15 years of experience teaching personalized classes and complete courses in the area of Mathematics for high school and university students, proactive classes with student participation and complete satisfaction of their questions. I offer both assistance and preparation for the development of tasks, lessons, workshops and exams. * Precalculus. * Limits and derivatives. * Applications of the derivative * Reasons for change * Integral calculus * Applications of the definite and indefinite integral. * Ordinary differential equations (ODE) * Plane, analytical, spatial geometry. * Everything about trigonometry, functions and trigonometric equations. * Everything about algebra, factoring, operations with fractions, equations, etc.

I am a chemical engineer, specialized in Finance, Financial Mathematics, Applied Statistics and Computerized Statistics with the Minitab, SPSS, R-Studio, Megastat Excel systems. •I have more than 15 years of professional experience in the field of private tutoring in basic engineering and administration sciences for high school, pre-university and university students. • My statistics tutorials are aimed at university students, professionals and the general public. • I have abundant teaching materials and resources to provide my students with in order to improve their learning through practice. • I provide personalized assistance for the development of tasks. • Preparation to succeed in all types of exams, lessons and workshops. • Statistical analysis of databases for theses, companies, etc. is performed. ● Topics: ● Descriptive statistics ▪ Preparation of frequency distribution tables for qualitative and quantitative data, both grouped by intervals and ungrouped. ▪ Graphical representation of frequency distribution tables using bars, columns, histograms, ogives, frequency polygons, pie charts, etc. ▪ Measures of central tendency: Mode, mean and median for interval-grouped and ungrouped data ▪ Measures of dispersion: Standard deviation, variance, coefficient of variation, etc. ▪ Location measures: Quartiles, quintiles, deciles, percentiles in interval and ungrouped data ● Probability theory: Probability rules for exclusive and non-exclusive events, independent and dependent events ● Counting principles: Permutations and combinations. ● Bayes' theorem. ● Discrete and continuous probability distributions: Binomial, hypergeometric, geometric, Poisson, uniform, normal, exponential distribution, etc. ● Inferential statistics. ▪ Central limit theorem. ▪ Sampling distribution of means ▪ Development of confidence intervals for the mean, variance and population proportions. ▪ One-, two-, and multiple-sample hypothesis testing for population mean, variance, and proportions. ▪ P-value in hypothesis testing. ▪ Analysis of variance (ANOVA) ▪ Chi square distribution. ▪ Simple and multiple regression analysis: Scatter plots, hypothesis testing for correlation coefficient and slope, determining the validity of the regression model. ▪ Various normality tests: Kolmogorov-Smirnov, Shapiro-Wilk, Anderson-Darling, etc. ▪ Wilcoxon sign test. ▪ Calculation of the Kruskall Wallis H and much more on statistical inference. ● Simulation and sampling statistics: Simple random sampling, stratified sampling, etc. ● Six Sigma quality control statistics: Potential capacity of a process, actual capacity of the process, calculation of the sigma level, ideal standard deviation for six sigma quality. ● Control limit charts by range and by attributes, etc. And much more. •••Classes in person and virtual via zoom

I am a chemical engineer, specialist in Finance, Financial Mathematics and Computerized Applied Statistics with Microsoft Excel, Minitab 19 and 20, SPSS 25.0, R-Studio and Megastat Excel add-on systems. • I have more than 15 years of professional experience in the field of professional tutoring for high school, high school, pre-university, pre-polytechnic, university and professional students. • Assistance is offered for the development of tasks. • Preparation to take all types of tests: Lessons, Workshops, Exams. • Preparation for exams to apply for study scholarships both in Ecuador and abroad. • Preparation to be successful in the ESPOL and Pre-Polytechnic engineering admission exams. ••••• Mathematics Area•••••••: ° Mathematical logic and sets. ° Algebra (Real numbers) ° Plane, spatial and analytical geometry ° Trigonometry. ° Arithmetic. ••••Chemistry Area•••••••: ° General chemistry ° Inorganic chemistry. ° Organic chemistry ° Analytical chemistry ° Environmental chemistry. ••••Physics Area.•••••• ° General physics ° Mechanical physics ° Acoustic physics ° Optical physics ° Electrical physics ° Magnetic physics ° Thermal expansion ° Fluid mechanics. ° Thermodynamics. Classes in person and virtual via zoom

Both Financial Mathematics and Economic Engineering are two of the sciences that constitute part of the bases in the area of business and administration both in the course of third-level university studies and postgraduate studies and in the professional field. On the following websites you can see my publications and contact more directly and make free consultations as well as separate classes or courses in Financial Mathematics and other sciences. Topics: •Calculation of interest rate equivalence in different time periods: monthly, semiannual, weekly, biweekly, every 45 days, daily, etc. • Continuous capitalization • Effective, nominal, active, passive rate. •Simple and compound interest calculations • Calculations in savings and credit accounts. • Equivalent value equations • Commercial discount, real or fair • Depreciation: linear method, sum of digits, declining balance, double declining balance, fixed percentage. • Certain constant and immediate annuities: anticipated, due. • Certain deferred annuities. • Perpetual annuities • Certain variable annuities with arithmetic and geometric gradient • Immediate general annuities: due, early. • Deferred and perpetual general annuities • Amortization systems: German, French and American table • Amortization tables that include insurance: life, credit, fire. • Calculation of the total fee. • Calculation of total financial cost using the IRR. • Calculation of the net real rate (NRR) through the use of inflation • Sinking funds • Bond valuation: Face value, IRR of the bond, price on coupon dates, clean price, dirty price, zero coupon bonds, etc. • Bond amortization tables. • Stock valuation: Constant, variable dividends, stock price, etc. • Valuation of options: put, call. • Preparation of cash flows • Calculation of NPV, IRR, TIRM, B/C, TMAR, PAYBACK. • All about the criteria in the benefit-cost relationship • Calculation of VAE, CAE, etc. • Sensitivity analysis • Valuation of projects with the same useful life and different lives • Incremental IRR and VA criteria to evaluate investment projects. • Criterion of the defender and challenger in the replacement of assets. All topics with professional applications in Excel.