In this article, we study about the value of Riemann Zeta Function for even numbers using Bernoulli number. First, we give some basic theory about Bernoulli number and Riemann Zeta function. The method that used in this research was literature study. From our analysis, we have a theorem to evaluate the value of Riemann Zeta function for the even numbers with its proving.

The ability of mathematical representation is one of the abilities that must be possessed by students in learning mathematics. In fact, students 'mathematical representation ability is still relatively low, so we need a learning model that can improve students' mathematical representation abilities, namely Model Eliciting Activities (MEA) with STAD type. The purpose of this study is to compare the mathematical representation ability of students taught using MEA with STAD type and those taught with conventional learning. The approach to be used is a quantitative approach with a quasi-experimental research method and using a control group pretest-posttest design. The population in this study were all VII grade students. Sampling was done using simple random sampling, which consisted of two classes, class VII1 as the experimental class and class VII2 as the control class. Data collection is used by using a mathematical representation ability test sheet. The data analysis technique used is independent t-test. Based on these analysis it can be concluded that the mathematical representation ability of students taught using MEA with STAD type is better than conventional learning.

One of the phenomenon in marine science that is often encountered is the phenomenon of water waves. Waves that occur below the surface of seawater are called internal waves. One of the mathematical models that can represent solitary internal waves is the modified Korteweg-de Vries (mKdV) equation. Many methods can be used to construct the solution of the mKdV wave equation, one of which is the extended F-expansion method. The purpose of this study is to determine the solution of the mKdV wave equation using the extended F-expansion method. The result of solving the mKdV wave equation is the exact solutions. The exact solutions of the mKdV wave equation are expressed in the Jacobi elliptic functions, trigonometric functions, and hyperbolic functions. From this research, it is expected to be able to add insight and knowledge about the implementation of the innovative methods for solving wave equations.

In this article, we provided a numerical simulation for asymptotic normality of a kernel type estimator for the intensity obtained as a product of a periodic function with the power trend function of a nonhomogeneous Poisson Process. The aim of this simulation is to observe how convergence the variance and bias of the estimator. The simulation shows that the larger the value of power function in intensity function, it is required the length of the observation interval to obtain the convergent of the estimator.

In this paper, we study an SVEIR disease model of tuberculosis transmission dynamics in which the infected population is divided into two groups, namely infectious infected and noninfectious infected population. The equilibrium points and the basic reproduction number R 0 are determined. The stability analysis of the model was conducted by considering the basic reproduction number R 0. We show that if R 0 < 1, then the disease-free equilibrium is locally asymptotically stable. If R 0 > 1, then a unique endemic equilibrium is locally asymptotically stable.